## Lie Theory and Geometry: The Mathematical Legacy of Bertram Kostant

- Start Date: 05/19/2008
- End Date: 05/25/2008

Jean-Pierre Serre, College de France

Anton Alekseev, Universite de Geneve

Michel Brion, Universite de Grenoble

Pavel Etingof, MIT

Victor Ginzburg, University of Chicago

Iain Gordon, University of Edinburgh

Victor Guillemin, MIT

J.-S. Huang, Hong Kong University of Science and Technology

Anthony Joseph, Weizmann Institute

Victor Kac, MIT

Allen Knutson, UCSD

James Lepowsky, Rutgers

Hiraku Nakajima, Kyoto University

Andrei Okounkov, Princeton University

Dale Peterson, UBC; Konstanze Rietsch, King's College; Jean-Pierre Serre, College de France; Birgit Speh, Cornell; David Vogan, MIT; Nolan Wallach, UCSD; Ivan Losev; Alessandra Pantano; Nicholas Ressayre; Alistair Savage; Yai Ling Yee

University of British Columbia

**One Hour Talks**

Anton Alekseev, University of Geneva

Title: *The Kashiwara-Vergne conjecture and Drinfeld's associators*

Michel Brion, University of Grenoble

Title: *Counting points of homogeneous varieties over finite fields
*

Pavel Etingof, MIT

Title: *Parabolic induction and restriction functors for rational Cherednik algebras and their applications*

Victor Ginzburg, University of Chicago

Title: *Quantization of del Pezzo surfaces*

Iain Gordon, University of Edinburgh

Title: *The Shapiro-Shapiro Conjecture and Calogero-Moser space*

Victor Guillemin, MIT

Title: *Asymptotic properties of spectral measures
*

J.-S. Huang, Hong Kong University of Science and Technology

Title: *Dirac operators and Lie algebra cohomologies*

Anthony Joseph, Weizmann Institute

Title: *The Borcherds Character Formula, the Littelmann Path Model and n homology*

Victor Kac, MIT

Title: *Classification of simple linearly compact generalized Jordan superalgebras
*

Allen Knutson, UCSD

Title: *The totally nonnegative Grassmannian and juggling patterns*

James Lepowsky, Rutgers

Title: *Tensor product theory for vertex operator algebra modules, and applications*

Hiraku Nakajima, Kyoto University

Title: *Quiver varieties and double affine Grassmannian
*

Andrei Okounkov, Princeton University

Title: *The mystical powers of eta*

Dale Peterson, UBC

Title: *The Toda lattice and small quantum cohomology of homogeneous spaces*

Konstanze Rietsch, King's College

Title: *A mirror symmetric approach to Kostant's quantum Toda lattice
*

Jean-Pierre Serre, College de France

Title: *Lie Groups and Prime Numbers*

Birgit Speh, Cornell

Title: *TBA*

David Vogan, MIT

Title: *The orbit method for reductive groups*

Nolan Wallach, UCSD

Title: *Hidden subgroup problems in quantum computing.*

**45 Minute Talks**

Ivan Losev, Belarusian State University

Title: *Quantized symplectic actions and W-algebras*

Alessandra Pantano, University of California at Irvine

Title: *Unitarity of Nonspherical Minimal Principal Series*

Nicholas Ressayre, Université Montpellier 2

Title: *Restricting representations to a reductive subgroup.*

Alistair Savage, University of Ottawa

Title: *Moduli spaces of sheaves and the boson-fermion correspondence*

Wai Ling Yee, University of Windsor

Title: *Kazhdan-Lusztig Polynomials and Signature Computations*

abs_brion.pdf

etingofabs.pdf

gordonabs.pdf

huangabs.pdf

josephabs.pdf

kacabs.pdf

knutsonabs.pdf

KonstantPoster6_18F.pdf

lepowskyabs.pdf

losevabs.pdf

nakajimaabs.pdf

okounkovabs.pdf

ressayreabs.pdf

rietschabs.pdf

savageabs.pdf

spectral_abstract.pdf

vancouver_alessandra.pdf

voganabs.pdf

wallachabs.pdf

yeeabs.pdf

kostant_video.ram

okounkov_video.ram

serre_video.ram

Jim Carrell,

University of British Columbia

Shrawan Kumar,

University of North Carolina at Chapel Hill

**Event Media Links**

Streamed videos of the talks are now available for download! Please click on the following links to view the lectures:

"A Garett Lisi's E8 theory of everything" Bertram Kostant (Duration: 01:03:30)

"The mystical powers of eta" Andrei Okounkov (Duration: 00:57:00)

"Lie groups and prime numbers" Jean-Pierre Serre (Duration: 01:02:19)

**Support for Junior Participants**

There will be some funds available for grad students and post docs. Please contact the organizers at bk08@pims.math.ca if you wish to apply for support.

**Scientific Committee**

Michel Duflo, Paris VII

Anthony Joseph, Weizmann Institute

Masaki Kashiwara, RIMS

George Lusztig, MIT

Michele Vergne, Ecole Polytechnique

David, Vogan, MIT

Nolan Wallach, UCSD

**Ex officio members**

David Ellwood, Clay Mathematics Institute

**Accommodation**

For participation/registration information, lodging and travel information, see http://www.pims.math.ca.

Participants are invited to make lodging reservations:

UBC Conference Centre

Pacific Spirit Hostel

Triumf House

Green College

St. John's College

There are also many B&Bs near UBC. Most of the hotels are downtown.

**Special PIMS Colloquium, Monday, May 26**: Jean-Pierre Serre (College de France): *Variation with p of the number of solutions mod p of polynomial equations*

**Event Images**

Please click to enlarge!