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Automorphic forms, mock modular forms and string theory: August 29 – September 2, 2016

Organized By: Terry Gannon, David Ginzburg, Axel Kleinschmidt, Stephen D. Miller, Daniel Persson, and Boris Pioline

Attendee ListDownload Talk Schedule

Dates: August 29 – September 2, 2016

The purpose of this workshop is to kick-start a 6-week program on the interface between number theory, representation theory and string theory. Specifically the aim is to investigate connections between string amplitudes, BPS-states, automorphic forms and mock modular forms. The workshop will serve to set the stage by introducing the various topics and help to initiate the bridge-building process, pointing to connections and possible areas of cross-fertilization. In particular, one of the chief aims of the workshop would be to highlight the role of representation theory, both in string theory as well as in the context of (mock) automorphic forms. The seeds for discussions and collaborations that spring from the workshop can then be fostered and allowed to grow during the remainder of the program.

Talk Schedule


Time Title Presenter Location
10:00am Mock Modular Forms and Their Applications, I Ken Ono SCGP 102
10:45 am Coffee Break N/A SCGP Lobby
11:15am Mock Modular Forms and Their Applications, II Ken Ono SCGP 102
12:00 pm Lunch N/A SCGP Cafe
2:00pm Moonshine old and new Jeffrey Harvey SCGP 102
3:30 pm Tea Time N/A SCGP Lobby
4:00pm Counting BPS states in N=4 string vacua Shamit Kachru SCGP 102

Time Title Presenter Location
10:00am Some modular properties of string theory scattering amplitudes Michael B Green SCGP 102
10:45 am Coffee Break N/A SCGP Lobby
11:15am Some modular properties of string theory scattering amplitudes Michael B Green SCGP 102
12:00 pm Lunch N/A SCGP Cafe
2:00pm Automorphic Representations and String Theory Stephen Miller SCGP 102
3:30 pm Tea Time N/A SCGP Lobby
4:00pm Structure of modular graph identities Eric D’Hoker SCGP 102

Time Title Presenter Location
10:00am BPS states, protected amplitudes and automorphic forms Boris Pioline SCGP 102
10:45am Coffee Break N/A SCGP Cafe
11:15am BPS states, protected amplitudes and automorphic forms Boris Pioline SCGP 102
12:00 pm Lunch N/A SCGP Cafe
1:50pm Automorphic Forms on Loop Groups Manish Patnaik SCGP 102
2:40pm Regularized Petersson Inner Product Kathrin Bringmann
3:30 pm Tea Time N/A SCGP Lobby
4:00pm Two Projects Using Lattices, Modular Forms, String Theory & K3 Surfaces Greg Moore SCGP 102
5:30pm Workshop Banquet N/A SCGP Cafe

4:00pmMathieu Moonshine and Symmetry SurfingChristoph KellerSCGP 102

Time Title Presenter Location
9:00am Quasi-Whittaker models and Wave-front sets Siddhartha Sahi SCGP 102
9:50 am Coffee Break N/A SCGP Lobby
10:20am Single-valued elliptic multiple zetas and string theory Pierre Vanhove SCGP 102
11:10am Some relations between modular graph functions Anirban Basu SCGP 102
12:00 pm Lunch N/A SCGP Cafe
1:50pm A Yang-Baxter equation for metaplectic Ice Daniel Bump SCGP 102
2:40pm Vertex operator algebras for K3 Katrin Wendland SCGP 102
3:30 pm Tea Time N/A SCGP Lobby

Time Title Presenter Location
9:00am Generalized Monstrous Moonshine Scott Carnahan SCGP 102
9:50 am Coffee Break N/A SCGP Lobby
10:20am BPS States and Indefinite Theta Functions Jan Manschot SCGP 102
11:10am TBA Roberto Volpato SCGP 102
12:00 pm Lunch N/A SCGP Cafe
1:50pm Kac-Moody Eisenstein series Kyu-Hwan Lee SCGP 102
2:40pm Exceptional field theory loop amplitudes Guillaume Bossard SCGP 102
3:30 pm Tea Time N/A SCGP Lobby