Clay Mathematics Institute 

An International Conference

Lecture  9:15 am  Benedict Gross  Opening talk, as Dean of Harvard College  
Lecture  9:3010:30 am  David Kazhdan 
"Works of I. Gelfand on the theory of
representations" The notes are available: PS format or PDF format 

Coffee Break  10:3011 am  
Lecture  11 am  noon  Robbert Dijkgraaf  "Random Matrices, Quantum Geometry and Integrable Hierarchies"  
Lunch  noon  2 pm  
Lecture  23 pm  Alexander Beilinson  "Around the center of a KacMoody algebra"  
Coffee Break  33:30 pm  
Lecture  3:304:30 pm  Vladimir Drinfeld 
"Infinite dimensional vector bundles in
algebraic geometry" The notes are at: http://xxx.lanl.gov/abs/math.AG/0309155 

Break  4:304:45 pm  
Lecture  4:455:45 pm  George Lusztig 
"Character sheaves and generalizations" The notes are available: PS format or PDF format 
Monday, September 1^{st}
Lecture  9:3010:30 am  Michael Atiyah  "Some reflections on geometry and physics"  
Coffee break  10:3011 am  
Lecture  11 am  noon  Cumrun Vafa 
"Unity of Topological Field Theories" The notes are available: PDF format 

Lunch  noon  2 pm  
Lecture  23 pm  Alain Connes 
"Noncommutative Geometry and Modular Forms" The notes are available: 18 JPG slides 

Coffee Break  33:30 pm  
Lecture  3:304:30 pm  Albert Schwarz 
"Supersymmetric gauge theories on commutative and
noncommutative spaces" The notes are available: PS format or PDF format 

Break  4:304:45 pm  
Lecture  4:455:45 pm  Nathan Seiberg 
"Matrix Models, The GelfandDikii Differential
Polynomials, And (Super) String Theory" The notes are available: Power Point format 
Tuesday, September 2^{nd}
Lecture  9:3010:30 am  ShingTung 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  10:3011 am  
Lecture  11 am  noon  Dusa McDuff  "Quantum cohomology and symplectomorphism groups"  
Lunch  noon  2 pm  
Lecture  23 pm  Nikita Nekrasov  "Unity of instanton mathematics"  
Coffee Break  33:30 pm  
Lecture  3:304:30 pm  Ludwig Faddeev  "Algebraic lessons from Quantum Integrable Models"  
Time for Discussions 
4:305:15 pm  
Lecture  5:156:15 pm  Israel Gelfand 
"Mathematics as an adequate language. A few
remarks" The notes are available: PS format or PDF format 
Wednesday, September 3^{rd}
Lecture  9:3010:30 am  Alexander Givental  "Strings, loops, cobordisms and quantization"  
Coffee break  10:3011 am  
Lecture  11 am  noon  Michael Hopkins  "Algebraic Topology and Modular Forms"  
Lunch  noon  2 pm  
Lecture  23 pm  Maxim Konstevich  "Integral affine structures"  
Coffee Break  33:30 pm  
Lecture  3:304:30 pm  Sergey Novikov  "Discrete Complex Analysis and Geometry"  
Break  4:304:45 pm  
Lecture  4:455:45 pm  Isadore Singer  TBA  
Banquet  6:30 pm 
Banquet at Royal East
restaurant Israel Gelfand's talk given at dinner 
Thursday, September 4^{th}
Lecture  9:3010:30 am  Peter Sarnak  "The Generalized Ramanujan Conjectures"  
Coffee break  10:3011 am  
Lecture  11 am  noon  Bertram Kostant  "Macdonald's Eta function formula and Peterson's Borel Abelian ideal Theorem"  
Lunch  noon  2 pm  
Lecture  23 pm  Dennis Gaitsgory  "Uhlenbeck compactification of the moduli space of Gbundles on an algebraic surface"  
Coffee Break  33:30 pm  
Lecture  3:304:30 pm  Anatoly Vershik  "Gel'fandZetlin bases, virtual groups, harmonic analysis on infinite dimensional groups"  
Break  4:304:45 pm  
Lecture  4:455:45 pm  Joseph Bernstein  "Estimates of automorphic functions and representation theory"  
Closing  5:456 pm 
END OF CONFERENCE