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

## Topic

**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, UniversitÃ© 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*

## Additional Information

**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!

Jean-Pierre Serre, College de FranceMichel Brion, Universite de GrenoblePavel Etingof, MITVictor Ginzburg, University of ChicagoIain Gordon, University of EdinburghVictor Guillemin, MITJ.-S. Huang, Hong Kong University of Science and TechnologyAnthony Joseph, Weizmann InstituteVictor Kac, MITAllen Knutson, UCSDJames Lepowsky, RutgersHiraku Nakajima, Kyoto UniversityAndrei Okounkov, Princeton UniversityDale 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

**Scientific, Seminar**

**May 19â€“25, 2008**

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