Clay Mathematics Institute
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An International Conference
on
"The Unity of Mathematics"


Program

 visit the Harvard Math Department website



Sunday, August 31st
  Lecture 9:15 am Benedict Gross Opening talk, as Dean of Harvard College
  Lecture 9:30-10:30 am David Kazhdan "Works of I. Gelfand on the theory of representations"
The notes are available: PS format or PDF format
  Coffee Break 10:30-11 am
  Lecture 11 am - noon Robbert Dijkgraaf "Random Matrices, Quantum Geometry and Integrable Hierarchies"
  Lunch noon - 2 pm
  Lecture 2-3 pm Alexander Beilinson "Around the center of a Kac-Moody algebra"
  Coffee Break 3-3:30 pm
  Lecture 3:30-4:30 pm Vladimir Drinfeld "Infinite dimensional vector bundles in algebraic geometry"
The notes are at: http://xxx.lanl.gov/abs/math.AG/0309155
  Break 4:30-4:45 pm
  Lecture 4:45-5:45 pm George Lusztig "Character sheaves and generalizations"
The notes are available: PS format or PDF format

Monday, September 1st
  Lecture 9:30-10:30 am Michael Atiyah "Some reflections on geometry and physics"
  Coffee break 10:30-11 am
  Lecture 11 am - noon Cumrun Vafa "Unity of Topological Field Theories"
The notes are available: PDF format
  Lunch noon - 2 pm
  Lecture 2-3 pm Alain Connes "Noncommutative Geometry and Modular Forms"
The notes are available: 18 JPG slides
  Coffee Break 3-3:30 pm
  Lecture 3:30-4:30 pm Albert Schwarz "Supersymmetric gauge theories on commutative and noncommutative spaces"
The notes are available: PS format or PDF format
  Break 4:30-4:45 pm
  Lecture 4:45-5:45 pm Nathan Seiberg "Matrix Models, The Gelfand-Dikii Differential Polynomials, And (Super) String Theory"
The notes are available: Power Point format

Tuesday, September 2nd
  Lecture 9:30-10:30 am Shing-Tung Yau "Mirror symmetry and localization"
The notes are available:
PS format or PDF format
The diagram explaining mirror principle:
PS format or PDF format
Two figures referred to in talk:
PS format or PDF format
  Coffee break 10:30-11 am
  Lecture 11 am - noon Dusa McDuff "Quantum cohomology and symplectomorphism groups"
  Lunch noon - 2 pm
  Lecture 2-3 pm Nikita Nekrasov "Unity of instanton mathematics"
  Coffee Break 3-3:30 pm
  Lecture 3:30-4:30 pm Ludwig Faddeev "Algebraic lessons from Quantum Integrable Models"
  Time for
Discussions 		4:30-5:15 pm
  Lecture 5:15-6:15 pm Israel Gelfand "Mathematics as an adequate language. A few remarks"
The notes are available: PS format or PDF format

Wednesday, September 3rd
  Lecture 9:30-10:30 am Alexander Givental "Strings, loops, cobordisms and quantization"
  Coffee break 10:30-11 am
  Lecture 11 am - noon Michael Hopkins "Algebraic Topology and Modular Forms"
  Lunch noon - 2 pm
  Lecture 2-3 pm Maxim Konstevich "Integral affine structures"
  Coffee Break 3-3:30 pm
  Lecture 3:30-4:30 pm Sergey Novikov "Discrete Complex Analysis and Geometry"
  Break 4:30-4:45 pm
  Lecture 4:45-5:45 pm Isadore Singer TBA
  Banquet 6:30 pm   Banquet at Royal East restaurant
Israel Gelfand's talk given at dinner

Thursday, September 4th
  Lecture 9:30-10:30 am Peter Sarnak "The Generalized Ramanujan Conjectures"
  Coffee break 10:30-11 am
  Lecture 11 am - noon Bertram Kostant "Macdonald's Eta function formula and Peterson's Borel Abelian ideal Theorem"
  Lunch noon - 2 pm
  Lecture 2-3 pm Dennis Gaitsgory "Uhlenbeck compactification of the moduli space of G-bundles on an algebraic surface"
  Coffee Break 3-3:30 pm
  Lecture 3:30-4:30 pm Anatoly Vershik "Gel'fand-Zetlin bases, virtual groups, harmonic analysis on infinite dimensional groups"
  Break 4:30-4:45 pm
  Lecture 4:45-5:45 pm Joseph Bernstein "Estimates of automorphic functions and representation theory"
  Closing 5:45-6 pm

END OF CONFERENCE