Lie Theory and Geometry: The Mathematical Legacy of Bertram Kostant

  • Start Date: 05/19/2008
  • End Date: 05/25/2008
Speaker(s):

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

Location: 

University of British Columbia

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, 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

Schedule: 

All talks on Monday through Friday (May 19-23) will be held in FSC1005 (in the Forestry Science Centre).
Note: The Forestry Sciences Centre is a 15-20 minute walk from the UBC Conference Centre and is about 15 minutes from Pacific Spirit Hostel.

All talks on Saturday (May 24) will be held in MATH100 (in the Mathematics Building).

 

SCHEDULE OF TALKS

 

MONDAY:

845 - 945: Registration.

945 - 1000: Opening

1000 - 1100: David Vogan; The orbit method for reductive groups.

1100 - 1130: Coffee

1130 - 1230: Andrei Okounkov; The mystical powers of eta.

1230 - 1430: Lunch

1430 - 1530: Hiraku Nakajima; Quiver varieties and double affine Grassmannian.

1530 - 1600: Coffee

1600 - 1700: Victor Ginzburg; Quantization of del Pezzo surfaces.

 

TUESDAY:

900 - 1000: Anthony Joseph; The Borcherds character formula, the Littelmann path model and n-homology.

1000 - 1030: Coffee

1030 - 1130: Bertram Kostant; A Garett Lisi's E8 theory of everything

1145 - 1245: Pavel Etingof; Parabolic induction and restriction functors for rational cherednik algebras and their applications.

1245 - 1430: Lunch

1430 - 1530: Nolan Wallach; Hidden subgroup problems in quantum computing.

1700: Banquet at Sage Bistro.

 

WEDNESDAY:

900 - 1000: Michel Brion; Counting points of homogeneous varieties over finite fields.

1000 - 1030: Coffee

1030 - 1130: Jean-Pierre Serre; Lie groups and prime numbers.

1145 - 1230: Nicolas Ressayre; Restricting representations to a reductive subgroup.Afternoon: no talks scheduled.

 

THURSDAY:

900 - 1000: Allen Knutson; The totally nonnegative Grassmannian and juggling patterns.

1000 - 1030: Coffee

1030 - 1130: Iain Gordon; The Shapiro-Shapiro Conjecture and Calogero-Moser space.

1145 - 1230: Alistair Savage; Moduli spaces of sheaves and the boson-fermion correspondence.

1230 - 1430: Lunch

1430 - 1530: Anton Alekseev; The Kashiwara-Vergne conjecture and Drinfeld's associators.

1530 - 1600: Coffee

1600 - 1700: Victor Guillemin; Asymptotic properties of spectral measures.

 

FRIDAY:

900 - 1000: Konstanze Rietsch; A mirror symmetric approach to Kostant's quantum Toda lattice.

1000 - 1030: Coffee

1030 - 1130: Dale Peterson; The Toda lattice and small quantum cohomology of homogeneous spaces.

1145 - 1230: Alessandra Pantano; Unitarity of nonspherical minimal principal series.

1230 - 1430: Lunch

1430 - 1530: Vladimir Popov; Tensor product decompositions, open orbits in multiple flag varieties, and generically multiple transitive algebraic group actions

1530 - 1600: Coffee

1600-1700: Jing-Song Huang; Dirac operators and Lie algebra cohomology.

 

SATURDAY:

900 - 1000: Birgit Speh; TBA

1000 - 1030: Coffee

1030 - 1115: Wai Ling Yee; Kazhdan-Lusztig polynomials and signature computations.

1130 - 1230: Jim Lepowsky; Tensor product theory for vertex operator algebra modules, and applications.

Organizers:


Jim Carrell
,
University of British Columbia

Shrawan Kumar,
University of North Carolina at Chapel Hill

Other 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.

 

bkposter

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!

 

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Sponsor: 

pims

clay


mit