Schedule for: 17w5097 - Automorphic Forms, Mock Modular Forms and String Theory

Arriving in Banff, Alberta on Sunday, October 29 and departing Friday November 3, 2017
Sunday, October 29
16:00 - 17:30 Check-in begins at 16:00 on Sunday and is open 24 hours (Front Desk - Professional Development Centre)
17:30 - 19:30 Dinner
A buffet dinner is served daily between 5:30pm and 7:30pm in the Vistas Dining Room, the top floor of the Sally Borden Building.
(Vistas Dining Room)
20:00 - 22:00 Informal gathering (Corbett Hall Lounge (CH 2110))
Monday, October 30
07:00 - 08:45 Breakfast
Breakfast is served daily between 7 and 9am in the Vistas Dining Room, the top floor of the Sally Borden Building.
(Vistas Dining Room)
08:45 - 09:00 Introduction and Welcome by BIRS Station Manager (TCPL 201)
09:00 - 10:00 Michael Green: Modular properties of string perturbation theory (TCPL 201)
10:00 - 10:20 Coffee break (TCPL Foyer)
10:20 - 11:00 Eric D'Hoker: New genus-two modular invariants and String Theory (TCPL 201)
11:00 - 11:40 Jeff Harvey: Lifting T-duality and other lattice automorphisms (TCPL 201)
11:40 - 13:00 Lunch
Lunch is served daily between 11:30am and 1:30pm in the Vistas Dining Room, the top floor of the Sally Borden Building.
(Vistas Dining Room)
13:00 - 14:00 Guided Tour of The Banff Centre
Meet in the Corbett Hall Lounge for a guided tour of The Banff Centre campus.
(Corbett Hall Lounge (CH 2110))
14:00 - 14:20 Group Photo
Meet in foyer of TCPL to participate in the BIRS group photo. The photograph will be taken outdoors, so dress appropriately for the weather. Please don't be late, or you might not be in the official group photo!
(TCPL Foyer)
14:20 - 15:00 Marie-France Vigneras: Minimal representations of p-adic groups (TCPL 201)
15:00 - 15:30 Coffee Break (TCPL Foyer)
15:30 - 16:10 Benjamin Brubaker: Whittaker functions and quantum groups (TCPL 201)
16:10 - 16:50 Daniel Bump: Duality for Metaplectic Ice
This is a report on arXiv:1604.02206 and arXiv:1709.06500, joint with Brubaker, Buciumas and Gray. Whittaker functions on the $n$-fold metaplectic cover of $GL(r)$ over a nonarchimedean local field were studied by Kazhdan and Patterson, who computed the scattering matrix of the intertwining integrals on the Whittaker models. It was shown in 2016 by Brubaker, Buciumas and Bump that this scattering matrix coincides with the R-matrix of a quantum group, a twist of quantum affine $U_{\sqrt{q}}(\widehat{\mathfrak{gl}}(n))$, where $q$ is the residue cardinality. Moreover, they showed that the spherical Whittaker functions could be expressed as partition functions of solvable lattice models, whose internal structure is related to the quantum affine Lie superalgebra $U_{\sqrt{q}}(\widehat{\mathfrak{gl}}(n|1))$. In recent work, Brubaker, Buciumas, Bump and Gray proved that a second solvable lattice model has the same partition function using Yang-Baxter equations. There may be analogies in mathematical physics, such as Kramers-Wannier duality for the Ising model, where the high-temperature system and the low temperature system have essentially the same partition function.
(TCPL 201)
17:30 - 19:30 Dinner
A buffet dinner is served daily between 5:30pm and 7:30pm in the Vistas Dining Room, the top floor of the Sally Borden Building.
(Vistas Dining Room)
Tuesday, October 31
07:00 - 09:00 Breakfast (Vistas Dining Room)
09:00 - 10:00 Gordan Savin: Small (automorphic) representations (TCPL 201)
10:00 - 10:30 Coffee Break (TCPL Foyer)
10:30 - 11:10 Dihua Jiang: On Large Cuspidal Automorphic Representations for Classical Groups (TCPL 201)
11:10 - 11:50 Birgit Speh: Symmetry breaking of infinite dimensional representations of orthogonal groups (TCPL 201)
11:50 - 13:30 Lunch (Vistas Dining Room)
13:30 - 14:10 Guillaume Bossard: Eisenstein series Fourier coefficients from constrained lattice sums (TCPL 201)
14:10 - 14:50 Nadya Gurevich: Poles of the standard L-function and functorial lifts for G_2 (TCPL 201)
14:50 - 15:20 Coffee Break (TCPL Foyer)
15:20 - 16:00 Solomon Friedberg: Rankin-Selberg integrals involving non-generic automorphic representations (TCPL 201)
16:00 - 16:40 Alexander Braverman (TCPL 201)
17:30 - 19:30 Dinner (Vistas Dining Room)
Wednesday, November 1
07:00 - 09:00 Breakfast (Vistas Dining Room)
09:00 - 10:00 Stephen Kudla: Indefinite theta series and theta liftings (TCPL 201)
10:00 - 10:20 Coffee Break (TCPL Foyer)
10:20 - 11:00 Martin Raum: The skew Maass lift (TCPL 201)
11:00 - 11:40 Roberto Volpato: BPS state counting in K3 string theories (TCPL 201)
11:40 - 13:30 Lunch (Vistas Dining Room)
13:30 - 17:30 Free Afternoon (Banff National Park)
17:30 - 19:30 Dinner (Vistas Dining Room)
Thursday, November 2
07:00 - 09:00 Breakfast (Vistas Dining Room)
09:00 - 10:00 Manish Patnaik: Automorphic forms on Kac-Moody groups (TCPL 201)
10:00 - 10:30 Coffee Break (TCPL Foyer)
10:30 - 11:10 Howard Garland: Variation on a theme by Bochner, for strings (TCPL 201)
11:10 - 11:50 Kyu-Hwan Lee: Kac-Moody Eisenstein series (TCPL 201)
11:50 - 13:00 Lunch (Vistas Dining Room)
13:30 - 14:10 Henry Kim: Ikeda type lift and Miyawaki type lift (TCPL 201)
14:10 - 14:50 Siddhartha Sahi: Multivariate hypergeometric functions (TCPL 201)
14:50 - 15:20 Coffee Break (TCPL Foyer)
15:20 - 16:00 Hermann Nicolai: K(E10) and standard model fermions (TCPL 201)
16:00 - 16:40 Thomas Creutzig: Vertex Algebras for S-duality (TCPL 201)
17:30 - 19:30 Dinner (Vistas Dining Room)
Friday, November 3
07:00 - 09:00 Breakfast (Vistas Dining Room)
09:00 - 09:40 Katrin Wendland: Mathieu Moonshine and the generic space of states of K3 theories (TCPL 201)
09:40 - 10:20 Christoph Keller: Symmetric Orbifolds, Siegel Modular Forms, and their Spectrum (TCPL 201)
10:20 - 10:40 Coffee Break (TCPL Foyer)
11:20 - 12:00 Checkout by Noon
5-day workshop participants are welcome to use BIRS facilities (BIRS Coffee Lounge, TCPL and Reading Room) until 3 pm on Friday, although participants are still required to checkout of the guest rooms by 12 noon.
(Front Desk - Professional Development Centre)
12:00 - 13:30 Lunch from 11:30 to 13:30 (Vistas Dining Room)