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July 30, 2006

Movida event: A big thank you to all for the support

Thanks to all the folks who came out for the Movida event. A big shout out to all of you. Your support means everything to Alterego and to the cause of theater and we hope to keep entertaining folks in the Big Apple.

Thanks mucho to Seema, Saad, Mithun, Beatrice, Shetal, Anjali, Tarika, Akshay, Ashwin, Reshma, Prashant, DJ Kapil, and Puja who helped out with the event.

The AV stuff showed clips and stills from our past Alterego productions and it was loads of fun to see Vikram Somaya, Bhavna Thakur, Anuvab Pal, Debargo Sanyal, Lethia Nall, Sendhil Ramamurthy, Deep Katdare, Rebecca Challis, Helen Jean Arthur, GR Johnson, Brian Coffee, Kevin Chap, Ranjit Gupte, Prashant Vijay, Joe Jamrog, up on the screen.

There was even a raffle to win a date and then everybody made a beeline to ask our resident astrologer if they had the prize winning ticket. I went too and he correctly predicted that I had never won anything in life and I was not going to start today. Well, it was good that I got back down to the bar after that.

Thanks to Movida for their support -great drinks and great location!

We will post the pictures out as soon as we get them. .

July 28, 2006

Panel on Ramanujan's life and contribution to number theory

One of the exciting events that we are planning ahead in the near future, in September, is a panel of experts discussing Srinivasa Ramanujan's life and work. Together they will try and deconstruct the enigmatic genius that is Ramanujan. We want to invite all mathematicians, number theorists, students, journos, historians, theater and lay people, to participate in this discussion. Right now we are in the midst of assembling a panel. a moderator, and a suitable venue for this event. The event will also include a reading of excerpted portions of our play on Ramanujan, "A First Class Man," a Q & A session, as well as a mixer with wine and cheese. It promises to be a very fulfilling evening.

All suggestions, comments, questions, and ways you can be part of this event are welcome. Feel free to contact us at www.alteregoproductions.org/blog and send in your comments and/ or contact Puja Ogale at puja@alteregoproductions.org or call her at 917-488-4189.

Event reminder: Movida mixer tomorrow, July 29th

Alter Ego Productions
Location: Movida
28 7th Ave S, New York, NY View Map
When: Saturday, July 29, 7:00pm to 10:00pm
Phone: 917-929-8361, 917-488-4189
Aaiyai yo...Aren't you tired of all those Desi Bhangra Parties....for a change come enjoay da magic of the South. Join us and discover why South India produces geniuses, software engineers, break dancers, and mama's boys??

Enter a raffle and win a date with our mystery South Indian guest at a restaurant near you. You're comin naaaa?

Cover $12 on guestlist (RSVP on this evite by July 25th)
$15 at the door

All proceeds will go towards our latest venture ' A First Class Man' For more information log on to www.alteregoproductions.org.
For questions and suggestions e-mail seema@alteregoproductions.org.

Caption contest winners: Movida event

caption contest.jpg

Caption contest winners:

Thrupthi Reddy: "Exer-cycling Thambi...Banenge Hero hum bhi!"

Rittik Chakrabarti : Got Brains - "Lungi"ng For A Body!

(They each get free entry to Movida)

Special mention:

Omar: "Zen and the art of stationary bike maintenence"

(He gets to meet with our guest astrologer for free!!)


July 23, 2006

Video: Kraftwerk: Numbers

Numbers and more numbers. Catchy disco beat by Kraftwerk.

Ramanujan's partition numbers carry a million $ prize

The Power of Partitions
Writing a whole number as the sum of smaller numbers springs a mathematical surprise

Ivars Peterson


Just a year before his death in 1920 at the age of 32, mathematician Srinivasa Ramanujan came upon a remarkable pattern in a special list of whole numbers.

The list represented counts of how many ways a given whole number can be expressed as a sum of positive integers. For example, 4 can be written as 3 + 1, 2 + 2, 2 + 1 + 1, and 1 + 1 + 1 + 1. Including 4 itself but excluding different arrangements of the same integers (2 + 1 + 1 is considered the same as 1 + 2 + 1), there are five distinct possibilities, or so-called partitions, of the number 4. Similarly, the integer 5 has seven partitions.

The list that Ramanujan perused gave for each of the first 200 integers, the number of their partitions, which range from 1 to 3,972,999,029,388.

Ramanujan noticed that, starting with 4, the number of partitions for every fifth integer is a multiple of 5. For instance, the number of partitions for 9 is 30 and for 14 is 135.

He discovered several more such patterns. Starting with 5, the number of partitions for every seventh integer is a multiple of 7, and starting with 6, the number of partitions for every 11th integer is a multiple of 11. Moreover, similar relationships occur where the interval between the chosen integers is a power of 5, 7, or 11 or a product of these powers. Ramanujan went on to prove rigorously that these patterns hold not only for the 200 partition numbers in his table but also for all higher numbers.

It was a curious discovery. Nothing in the definition of partitions hinted that such relationships, called congruences, should exist or that the prime numbers 5, 7, and 11 should play a special role.

After many decades of nearly fruitless searching that yielded just one or two apparently isolated examples of large numbers that fit the pattern, mathematicians came to believe that no other congruences exist. Those found by Ramanujan and the later mathematicians were thought to be little more than numerical flukes.

Read more >>

Ramanujan's life: The equally important peripheral characters who shaped his mathematical career

A lot of us know about Srinivasa Ramanujan's discovery by GH Hardy and to Hardy should go the lion's share of credit for discovering Ramanujan's genius and making him the icon that he is in the field of number theory today.

However much of this would have been impossible if it had not been for a cast of characters in Ramanujan's life who were convinced that this boy was a precocious talent, who failed his college examination at the Governmant College in Kumabkonam because he loved mathematics and cared nothing for physiology and English. He ultimately transfered to Pacchaiyappa's College, where he failed yet again. (My uncle went to Pacchaiyappa's College, and it was a college that accepted all the academic dregs in Madras. We can afford to laugh now because my uncle has done quite well, but there was a time when my mother's family had months of sleepless nights). Ramanujan did not do much from 1907 to 1910 other than record his theorems, without really working until he met VR Aiyar.

So in short, the cast of characters:

VR Aiyar, the founder of the Indian Mathematical Society was a deputy collector in the Madras Civil Service who was approached by Ramanujan looking for a job in his office. He took a look at Ramanujan's theorems and contacted PV Seshu Aiyar, Ramanujan's math professor at the Government College. Seshu Aiyar got in touch with another mathematician R.Ramachandra Rao, and both arranged a meeting with Ramanujan. Ramachandra Rao was sufficiently impressed with Ramanujan that he offered a monthly stipend to Ramanujan to continue his work with his theorems. Ramanujan could now for the first time work on his passion without having to worry about getting by everyday. But he felt that he was not really earning his stipend without actual work. In 1912, he finally landed a job as a clerk in the Madras Port Trust. This turned out to be most fortuitous because the chairman of the Madras Port Trust was Sir Francis Spring, an engineer with a good bit of knowledge of mathematics who took a great deal of interest in Ramanujan's work. He with the manager SN Aiyar, who was also a well known mathematician, and PV Seshu Aiyar persuaded Ramanujan to write to GH Hardy, the famous English mathematician. The letters are now revealed to have been written mostly by Sir Frances Spring and SN Aiyar because Ramanujan's knowledge of English was lacking.

By that evening after receiving the first Ramanujan letter and pouring over his theorems, GH Hardy and his colleague Littlewood despite their initial skepticism, were convinced that this was the work of a true genius, who needed further guidance to fully recognize his potential. GH Hardy's efforts to get Ramanujan to Cambridge failed, because of his mother's opposition to overseas travel and strong caste convictions. Meanwhile, Ramanujan also had received a scholarship at the University of Madras to pursue his studies, through the auspices of Sir Gilbert Walker.

To get him to come to England, GH Hardy dispatched EH Neville, another Cambridge mathematician, who was to teach a winter course in the Univ of Madras. EH Neville's persuasions might have failed if it had not been for a pilgrimage by Ramanujan, and his parents to the temple of the goddess Namagiri at Namakkal. On the last night, Ramanujan's mother had a dream where he was surrounded by Europeans, and was ordered by the goddess to proceed to England.

Thus began Ramanujan's foray into the world of Western scientific orthodoxy and the eventual relationship with GH Hardy that is now the subject of the play A First Class Man.

(Excerpts from Ramanujan's Notebooks, 1978 by Bruce C Berndt).

July 21, 2006

Robert Kanigel on Ramanujan's agnosticism

Ramanujan: Letters and Commentary. Bruce C. Berndt and Robert A. Rankin. American Mathematical Society, London Mathematical Society, Providence. 1995.
This is a wonderfully welcome book. The worldwide public has been fortunate to have a variety of biographies of the Indian mathematical genius, Ramanujan.

Most recently, Robert Kanigel published The Man Who Knew Infinity for a broad audience.
Before this, S. R. Ranganathan had published Ramanujan, The Man and the Mathematician. And, of course, there
are the wonderful accounts of Ramanujan's life in G. H. Hardy's Ramanujan, and in Ramanujan's Collected Papers.

However each biography always carries with it some of the views of the author. This is perhaps most strikingly in evidence in the following account that Hardy (taken from page 4 of Ramanujan) provides of
Ramanujan's religious views:

Now the two memoirs of Ramanujan printed in the Papers (and both written by men who, in their different ways, knew him very well) contradict one another flatly about his religion. Seshu Aiyar and Ramanchandra Rao say:
"Ramanujan had definite religious views. He had a special veneration for the Namakkal goddess... He believed in the existence of a Supreme Being and in the attainment of Godhead by men... He had settled convictions about the problem of life and after..."; while I say... his religion was a matter of observance and not of intellectual conviction, and I remember well his telling me (much to my surprise) that all religions seemed to him
more or less equally true...? Which of us is right? For my part I have no doubt at all; I am quite certain that I am. Classical scholars have, I believe, a general principle, difficilior lectio potior, " the more difficult reading is to be preferred" in textual criticism. If the Archbishop of Canterbury tells one man that he (the Archbishop) believes in God, and another that he does not, then it is probably the second assertion which is true, since otherwise it is very
difficult to understand why he should have made it, while there are many excellent reasons for his making the first whether it be true or false. Similarly, if a strict Brahmin like Ramanujan told me, as he certainly did, that he had no definite beliefs, then it is 100 to 1 that he meant what he said.This was no sufficient reason why Ramanujan should outrage the feelings of his parents or his Indian friends. He was not a reasoned infidel, but an "agnostic" in its strict sense, who saw no particular good, and no particular harm, in Hinduism or in any other religion. Hinduism is, far
more, for example, than Christianity, a religion of observance, in which belief counts for extremely little in any case, and if Ramanujan's friends assumed that he accepted the conventional doctrines of such a religion,
and he did not disillusion them, he was practising a quite harmless, and probably necessary, economy of truth.?

To paraphrase what I said in The Hindu (21 December 1987, page 8), the day before the Ramanujan centenary:Hardy believed that Ramanujan was more or less a Western European agnostic. I doubt it. In my dealings with academic Indians, I have found them quite polite. If you contradict their beliefs, I have found few, if any, who would bluntly remark:That's the stupidest remark I've heard! They are more likely to smile and keep their own opinions. I believe that is related to Ramanujan's response to Hardy. Hardy was Ramanujan's great benefactor and was also a man who referred to God as his personal enemy. If you were Ramanujan and you were speaking about religion with Hardy, what could you say that both would be an honest statement consistent with your religious beliefs and would not antagonize your great friend? What could be a better statement than ?... all religions seem... more or less equally true??This statement reflects the great tolerance of Hinduism, and (to paraphrase again):... if Ramanujan's friend (Hardy) assumed that he accepted the conventional doctrines of (agnosticism), and he did not disillusion (him), he was practising a quite harmless, and probably necessary, economy of truth.

According to Kanigel, Ramanujan chose the path of least resistance, giving GK Hardy the idea that he was an agnostic. This is based on Kanigel's observations, that Indian academics are circumspect and given to keeping their beliefs to themselves. Well that is true not just for Indian academics but the Japanese, Chinese, Finnish, Germans, and well nigh everybody in the field of mathematics. They are rarely polemicists, trying to cleave the world like their sociological brethren do. They are not fire and brimstone like Edward Said or like Oriana Fallaci.

My interpretation:

It is more likely that Ramanujan did have strong ideas about religion but he was far too interested in the validation of his work, and chose a pragmatic silence in regards to his religion and avoided a potential minefield with a non-committal statement like 'all religions are equal", which makes him in my eyes, an agnostic. His belief in mathematical proof overrode the proof needed for the existence of God. This should be obvious by the fact that he wrote letters to GK Hardy asking him if his solutions were exemplary. The darker interpretation is, and there is always one, is that he was one of the very few Indians in Cambridge with very little knowledge of how secular an institution this was, specially when the occupying power has slogans like GK Chesterton's, "If God calls you to be a missionary, don't stoop to be a king."

Movida poster: Too overtly religious? Ramanujan would have thought so.

movida poster.jpg

Srinivasa Ramanujan's religious convictions were inextricably linked to his mathematical genius. In many ways Ramanujan found religion in mathematics and maybe even the opposite could be true, he found something mathematical in religion, especially a religion as polytheistic and amorphous as Hinduism. If there was a genius who could have discoverd a self organizing principle or an algorithm that could define Hinduism, it would be Ramanujan.

However, I have a feeling from what I have read of him, he would be uncomfortable with overtly religious symbols or with the religiosity that we see in the India of today. Certainly, I doubt he would subscribe to the rise of strident Hindu fundamentalism. Ramanujan's religious convictions were intensely private, the discourse limited to conversations or to the rituals of religion. In fact, there seems to be a controversy as to whether at the end of his life, he turned into an atheist.

The Movida poster has Vishnu, the preserver, who is also known as Srinivasa in the South, one of the thousand names that Vishnu is known as. Vishnu's consort is Lakshmi, the Goddess of wealth. If there was one goddess that deserted Ramanujan in his mortal life, it would have to be Lakshmi, because he died in penury.

Bhavna disagrees," Atheism vs. Religion is probably the most important theme--a man of faith meets a man without. The clash of cultures that Ramanujan undergoes is primarily based on his being a brahmin and
indoctrination in hindu rituals......"

I have no problem with this premise because it extends to Ramanujan's world, a private world. A world that clashed with GK Hardy's. However the poster says more. It creates the impression that religion was the only issue that kept the two protagonists apart. It is true that Hardy was a fierce atheist but he was also a man with a dysfunctional personality, a bachelor, who never formed very strong bonds or relationships with most people, even his peers. He was most comfortable and animated talking about mathematics and/ or cricket. The main point of the religious divide pertains to the mathematical aspect. How is it that a person with no rigorous training and just his religious orthodoxy come up with such fantastical solutions? If Ramanujan had not been an iota religious, the story would have been less compelling but the relationship would have ended the same way.

In reference to Ramanujan "G. H. Hardy, an atheist, believed him to be essentially agnostic as far as metaphysical matters were concerned. It is also said that Ramanujan, who struggled for a long time with severe illness which tended to impede his mathematical output, said in frustrated agony, while in his death throes, that he did not believe in God. Hardy reported a statement of Ramanujan's to the effect that all religions are equally correct."

In an interview by Paul Erdős, when Hardy was asked what his greatest contribution to mathematics was, Hardy unhesitatingly replied that it was the discovery of Ramanujan. He called their collaboration "the one romantic incident in my life." In the closeted world of Cambridge academics it was the closest that Hardy had come to acknowledging who he was. This statement reveals more about the nature of their relationship, their attraction and differences between each other, rather than the religious equation.


July 20, 2006

Movida mixer: Please keep July 29th open!

Ramanujan.jpg
The star: Srinivasa Ayengar Ramanujan

Genius. Savant. Spiritual. Orthodox. Brahmin. Religious. Agnostic. Controversial. Iconoclast. Kumbakonam. Tamil Nadu. Euler. Travel. GH Hardy. Littlewood. Trinity College. Cambridge. Vision. Proof. Ramanujan-Hardy. Ramanujan -Petersson. Number Theory. Gamma functions. Stress. Illness. Mock Theta functions. Return. Death. Fame. First Class Man. David Freeman. Alter Ego Productions.

Alter Ego Productions
Location: Movida
28 7th Ave S, New York, NY View Map
When: Saturday, July 29, 7:00pm to 10:00pm
Phone: 917-929-8361, 917-488-4189
Aaiyai yo...Aren't you tired of all those Desi Bhangra Parties....for a change come enjoay da magic of the South. Join us and discover why South India produces geniuses, software engineers, break dancers, and mama's boys??

Enter a raffle and win a date with our mystery South Indian guest at a restaurant near you. You're comin naaaa?

Cover $12 on guestlist (RSVP on this evite by July 25th)
$15 at the door

All proceeds will go towards our latest venture ' A First Class Man' For more information log on to www.alteregoproductions.org.
For questions and suggestions e-mail seema@alteregoproductions.org.

http://www.evite.com/pages/invite/viewInvite.jsp?inviteId=QCYNUKBLGAYNYPIWBAWO

July 17, 2006

A tribute to GH Hardy: He was in the Bradman class

TRIBUTE
In the Bradman class
GIRIDHAR KHASNIS


The mathematical genius who discovered Ramanujan retained an undying interest in the game of cricket.
"Poetry is more valuable than cricket, but Bradman would be a fool if he sacrificed his cricket in order to write second-rate minor poetry (and I suppose that it is unlikely that he could do better)."

"Bradman is a whole class above any batsman who has ever lived: if Archimedes, Newton and Gauss remain in the Hobbs class, I have to admit the possibility of a class above them, which I find difficult to imagine. They had better be moved from now on into the Bradman class."

G. H. Hardy

An elderly English gentleman sits in a corner of my bookshelf; he's been there for more than two decades now. Impeccably dressed, a cigarette dangling between his fingers, the rim of jumbo black spectacles sliding down his sharp nose, his small frame somewhat dwarfed by an oversized cane chair, right leg crossed on the left knee...

Surprisingly, the photographer who has perked up the telling picture of G.H. Hardy is unnamed both on the covers or the insides of A Mathematician's Apology (Cambridge University Press). Hardy couldn't have cared less; he would have, perhaps, been happier without his picture on the cover. Among the eccentricities of the mathematical genius was an abiding aversion for photographs and mechanical gadgets (in particular, telephone). He never used a watch and couldn't bear the sight of a shaving mirror; when he went to a hotel, his first action was to cover all the looking glasses with towels!


Hardy was brilliant, unorthodox, eccentric, radical, immensely charming with child-like openness, ready to talk about anything, shy and self-conscious in all actions, remarkably honest about his own abilities, strengths and weaknesses, and obsessively heliotropic, trying to catch each ray of the winter sun.

Precise and engrossing

In a postcard to his friend, Hardy (during the 1920s) listed six New Year wishes: (1) prove the Riemann hypothesis; (2) make 211 not out in the fourth innings of the last Test Match at Oval; (3) find an argument for the non-existence of God which shall convince the general public; (4) be the first man at the top of Mount Everest; (5) be proclaimed the first president of the USSR or of Great Britain and Germany; (6) murder Mussolini.

A Mathematician's Apology is an incredibly precise and thoroughly engrossing piece of literature. In no more than 90 pages, Hardy leads the reader through labyrinths of an absorbing mathematical journey. Rich in insight, scrupulous in detail, this part-autobiographical and part-philosophical treatise is a testimony of Hardy's literary scholarship as much as to his own unique personality. When Apology was first published in 1940, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'.

In a stimulating and comprehensive foreword, C P Snow seems to agree with Greene's opinion about Apology: "Yes, it is witty and sharp with intellectual high spirits: yes, the crystalline clarity and candor are still there: yes, it is the testament of a creative artist." Snow also confesses his association with Hardy as "intellectually the most valuable friendship of my life". He tells us how the brilliant mathematician possessed a character as beautiful and candid as his mind; how he was one of the finest mathematical thinkers, and `for a short time, the fifth best pure mathematician in the world'; how Hardy's association with Littlewood was "the most famous collaboration in the history of mathematics" and how Hardy-Littlewood researches dominated English pure mathematics, and much of world pure mathematics: "Together they produced nearly 100 papers, a good many of them in the Bradman class."

Hardy remained a bachelor all his life. Besides mathematics, Hardy had another passion; an undying love for the game of cricket, which he quite literally sustained to the very last minute of his life. Snow recalls that Hardy "had a horror of persons, who devotedly studied the literature but had never played the game (of cricket)." Hardy himself clarifies in Apology: "Poetry is more valuable than cricket, but Bradman would be a fool if he sacrificed his cricket in order to write second-rate minor poetry (and I suppose that it is unlikely that he could do better)."

Hardy had no faith in intuitions or impressions; "his own or anyone else's". Snow evokes the mathematician's refusal to go into any college chapel even for formal business, like electing a master. "He had clerical friends, but God was his personal enemy." By the way, Hardy was, for two years (1924-26), President of the Association of Scientific Workers; though he sarcastically admitted to being "an odd choice" and "the most unpractical member of the most unpractical profession in the world."

Romantic incident
Hardy acknowledged that discovery of Ramanujan was "the one romantic incident" of his life. That historic morning, early in 1913, is recounted delightfully by Snow, when Hardy found, among the letters on his breakfast table, a large untidy envelope decorated with Indian stamp: "He glanced at the letter, written in halting English, signed by an unknown Indian, asking him to give an opinion of these mathematical discoveries... Hardy was not only bored, but irritated... Wild theorems. Theorems such as he had never seen before, nor imagined. A fraud of genius? A question was forming itself in his mind (throughout the day)... He sent word to Littlewood ... By nine o'clock or so they were in one of Hardy's rooms, with the manuscript stretched out in front of them... Before midnight they knew, and knew for certain. The writer of these manuscripts was a man of genius."

Hardy suffered a coronary thrombosis in 1939 (a year before he wrote Apology). He recovered, but the physical activities he loved were over for good. Snow recognises Apology being a book of haunting sadness. "

When the War began, Hardy was further depressed. Like his friend Bertrand Russell, he too believed that the War should never have been fought. In early 1947, driven by despair and depression, Hardy tried to kill himself. The attempt failed, but his condition only got worse. In the nursing home, he got a black eye, hitting his head on the lavatory basin.

"After that, I went to Cambridge at least once a week," writes Snow. "I dreaded each visit ... he talked a little, nearly every time I saw him, about death. He wanted it: he didn't fear it: what was there to fear in nothingness?...Mostly, though - about fifty-five minutes in each hour I was with him - I had to talk cricket. It was his only solace..."

Snow remembers his last visit to Hardy, four or five days before he died. There was an Indian test team playing in Australia and they talked about them. "It was in that same week that he told his sister: `If I knew that I was going to die today, I think I should still want to hear the cricket scores.' He managed something very similar. Each evening that week before she left him, she read a chapter from a history of Cambridge university cricket. One such chapter contained the last words he heard, for he died suddenly, in the early morning. "

I must have read the Apology and Snow's foreword at least a dozen times. Each time I have finished, I have come a bit closer to realising what it takes one to be in the Bradman class.

From the Hindu, 17/07/2006
(http://www.hinduonnet.com/mag/2006/07/16/stories/2006071600230400.htm)

July 13, 2006

Contact Alter Ego

For more information on Alter Ego productions, please contact Shourin Roy at sr240@columbia.edu or call 646-662-6057 or Amrita Rajagopal at amrita.rajagopal@gs.com or call 520-548-0402.

July 05, 2006

Consumer Generated Theater ?

User generated content is the new buzzword on the internet. Media companies are falling over each other to allow users to post Videos, Photos, and “interact” with their friends so that page views ($$) can be generated.

As with all buzzwords, there is a natural spillover to other forms of media including Theater and Comedy

Maybe, Alter Ego was ahead of the curve 5 years go when a bunch of “consumers” got together to produce plays.