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Scheduled Lectures 2003-2004

             
 

Pierre Deligne


     

Pierre Deligne
Institute for Advanced Study
Princeton University

Visit: May 6, 11, 13, 25, 27, June 1, 3, 8, 2004


Multizeta Values
Thurs. May 6, 1-2 PM, IPAM 1200

Abstract: After Euler proved that $\zeta(n)$is a rational multiple of $\pi ^n$for $n$even, he wondered, as we still do, about the case of $n$odd. He introduced instances of what are now called multizeta values, such as $S(p,q):=\sum _{n\ge m} 1/n^p.m^q$, and proved that $S(2,1)=2 \zeta(3)$. Later, multizeta values occured in the work of Drinfeld ("associators"). They are now best understood as periods of the fundamental group of ${\bf P}^1$minus $3$points. Together with the theory of mixed Tate motives, this interpretation gives good upper bounds for how many of them are linearly independant over $\bf Q$, and an understanding of the structure of the relations.

All other lectures will be held in MS 6627, 1-2 PM


Colloquium:
Through the looking glass: the case of super Riemann surfaces
Thurs. May 27, 4:00 PM, MS 6627

Abstract: As when Alice went through the looking glass, when we go over to ``super mathematics'' (introducing signs according to the Koszul sign rule), at first nothing changes, but soon counterparts of classical definitions or theorems take strange new forms. What happens to the theory of Riemann surfaces will be told.


Background:
Pierre Deligne is one of the greatest mathematicians of the twentieth century. His work has had a revolutionary impact on many fields, including geometry, algebra, number theory, topology, and mathematical physics. Among his achievements are his solution to the Weil conjectures in algebraic geometry and the Ramanujan conjecture in number theory, his solution to Hilbert's twenty-first problem and its generalization to higher dimensions, his work on modular forms and Hodge Theory, to mention a few.

By his own work as well as by his willingness to listen to others and to write to them on mathematical questions he has exerted an extraordinary influence on the mathematics and mathematicians of his generation.

Deligne was awarded the Poincare medal of the Academy of Sciences (Paris) in 1974, the Fields Medal in 1978, and the Crafoord prize of the Royal Swedish Academy of Sciences in 1999. He has been a professor at the Institute for Advanced Study at Princeton, NJ, since 1984.

  
     
 

Previous speakers of the DLS include: Shing-Tau Yau, Hillel Furstenberg, Robert R. Langlands, Clifford Taubes, Louis Nirenberg, Oded Schramm, Louis Nirenberg, I.M. Singer, Jesper Lutzen, L.H. Eliasson, Raoul Bott, Dennis Gaitsgory, Gilles Pisier, Gregg Zuckerman, Freydoon Shahidi, Alain Connes, Jöran Friberg, David Mumford, Sir Michael Atiyah, Jean-Michel Bismut, Jean-Pierre Serre, G. Tian, N. Sibony, C. Deninger, Peter Lax, and Nikolai Reshetikhin.

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