Crossing the bridge: New connections in number theory and physics

Workshop theme

This workshop aims to bring together researchers from number theory, automorphic representation theory, string theory and quantum field theory in order to explore connections between these topics that have recently come to light. The workshop will highlight connections that range from the study of scattering amplitudes, black hole physics and solvable lattice models to the understanding of Fourier coefficients and small representations of algebraic groups. The workshop is embedded in a longer programme at the INI centred around the same topics.

Speakers

Kathrin Bringmann
Guillaume Bossard
Francis Brown
Daniele Dorigoni
Ksenia Fedosova
Henrik Gustafsson
Martijn Hidding
David Kazhdan
Kim Klinger-Logan
Stephen Miller (virtual)
Greg Moore (virtual)
Sameer Murthy
Sunil Mukhi
Kiyokazu Nagatomo
Ken Ono
Manish Patnaik
Boris Pioline
Aaron Pollack
Pierre Vanhove
Bram Verbeek
Don Zagier

More speakers will be announced in due course

Fees

Registration Only

Registration Package: £208
Student Registration Package: £158

The Registration Package includes admission to all seminars, lunches and refreshments on the days that lectures take place (Monday - Friday), wine reception and formal dinner, but does not include other meals or accommodation.

Registration and Accommodation

Accommodation Package: £587

The Accommodation Package includes a registration fee, bed and breakfast accommodation at Churchill College from the evening of Sunday to breakfast on Saturday, together with lunches and refreshments during the days that lectures take place (Monday - Friday). The formal dinner is also included, but no other evening meals

Formal Dinner Only

Formal Dinner: £55

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, such as programme participants, the above charge will apply.

Accommodation

Accommodation

Accommodation in single study bedrooms with shared facilities and breakfast are provided at Churchill College.

Meals

Lunch Lunch is held at Churchill College and timings will be confirmed with timetable.

Evening Meal Participants are free to make their own arrangements for dinner.

Formal Dinner The Formal Dinner will be held at Murray Edwards College.

The event is a tradition for INI participants and gives you a chance to socialise with your colleagues on a more personal level. It is not one to miss!

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event.

Timetable

Monday 22nd August 2022
09:00 to 09:55	Registration and Morning Coffee	No Room Required
09:55 to 10:00	Samantha Skehel Isaac Newton Institute Welcome	Room 1
10:00 to 11:00	Don Zagier Max-Planck-Institut für Mathematik, Bonn Modular linear differential operators and their classification	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Ksenia Fedosova Albert-Ludwigs-Universität Freiburg Whittaker Fourier type solutions to generalized Eisenstein series	Room 1
12:30 to 13:30	Lunch	No Room Required
13:30 to 14:30	Discussion time	Room 1
14:30 to 15:30	Sameer Murthy King's College London Unitary matrix models, free fermions, and the giant graviton expansion	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Stephen Miller Rutgers, The State University of New Jersey The existence and uniqueness of Whittaker functions for GL(n,R): an approach through Schubert geometry	Room 1
17:00 to 18:00	Welcome Wine Reception at INI	No Room Required

Tuesday 23rd August 2022
09:00 to 10:00	Kiyokazu Nagatomo Osaka University; Max Planck Institute for Mathematics Rankin-Cohen algebras and commutative associative sl_2-algebras	Room 1
10:00 to 11:00	Henrik Gustafsson Umeå University Bridges between lattice models, representation theory and number theory	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Bram Verbeek Uppsala Universitet Single-valued and modular iterated Eisenstein integrals in string theory	Room 1
12:30 to 13:30	Lunch	No Room Required
13:30 to 14:30	Sunil Mukhi Indian Institute of Science Education and Research (IISER); Tata Institute of Fundamental Research Classification of Unitary RCFTs with Two Primaries and c	Room 1
14:30 to 15:30	Ken Ono University of Virginia Sato-Tate type distributions for families of hypergeometric varieties	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Kim Klinger-Logan Rutgers, The State University of New Jersey; Kansas State University A bridge built using differential equations in automorphic forms	Room 1

Wednesday 24th August 2022
09:00 to 10:00	Francis Brown University of Oxford Canonical Feynman integrals and cohomology of GL_n	Room 1
10:00 to 11:00	Guillaume Bossard CNRS & École polytechnique Asymmetric orbifolds and quaternionic automorphic functions	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Martijn Hidding Uppsala Universitet Algorithmic study of elliptic modular graph forms	Room 1
12:30 to 13:30	Lunch	No Room Required
19:30 to 22:00	Formal Dinner at Murray Edwards College	No Room Required

Thursday 25th August 2022
09:00 to 10:00	David Kazhdan Hebrew University of Jerusalem On integration over the supermoduli space of curved. A joint work with with Giovanni Felder and Alexander Polishchuk	Room 1
10:00 to 11:00	Aaron Pollack University of California, San Diego Modular forms of half-integral weight on G_2	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Pierre Vanhove CEA/Saclay Analytic structure of cosmological correlators	Room 1
12:30 to 13:30	Lunch	No Room Required
13:30 to 14:30	Kathrin Bringmann University of Cologne Modular completions	Room 1
14:30 to 15:30	Manish Patnaik University of Alberta Metaplectic Whittaker Functions and Quantum Groups at Roots of Unity	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Greg Moore Rutgers, The State University of New Jersey Three Pedestrian Overpasses Between Number Theory And Physics	Room 1

Friday 26th August 2022
09:00 to 10:00	Daniele Dorigoni Durham University Novel results in N=4 Super Yang-Mills with classical gauge groups	Room 1
10:00 to 11:00	Dmitry Gourevitch Weizmann Institute of Science Fourier coefficients of Automorphic forms	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Boris Pioline Sorbonne Université; CNRS (Centre national de la recherche scientifique) BPS modularity on Calabi-Yau threefolds	Room 1
12:30 to 13:30	Lunch	No Room Required

New connections in number theory and physics

Crossing the bridge: New connections in number theory and physics

Organisers

Daniel Bump Stanford University
Solomon Friedberg Boston College
Michael Green University of Cambridge
Axel Kleinschmidt Max-Planck-Institut für Gravitationphysik
Daniel Persson Chalmers University of Technology
Katrin Wendland Albert-Ludwigs-Universität Freiburg

Speakers

Guillaume Bossard École Polytechnique
Kathrin Bringmann University of Cologne
Francis Brown University of Oxford
Daniele Dorigoni Durham University
Ksenia Fedosova Albert-Ludwigs-Universität Freiburg
Dmitry Gourevitch Weizmann Institute of Science
Henrik Gustafsson Institute for Advanced Study, Princeton; Rutgers, The State University of New Jersey
Martijn Hidding Uppsala Universitet
David Kazhdan Hebrew University of Jerusalem
Kim Klinger-Logan Rutgers, The State University of New Jersey; Kansas State University
Stephen Miller Rutgers, The State University of New Jersey
Greg Moore Rutgers, The State University of New Jersey
Sunil Mukhi Indian Institute of Science Education and Research (IISER); Tata Institute of Fundamental Research
Sameer Murthy King's College London
Kiyokazu Nagatomo Osaka University; Max Planck Institute for Mathematics
Ken Ono University of Virginia
Manish Patnaik Stanford University
Boris Pioline Sorbonne Université; CNRS (Centre national de la recherche scientifique)
Aaron Pollack University of California, San Diego
Pierre Vanhove IHES; CEA/Saclay
Bram Verbeek Uppsala Universitet
Don Zagier Max-Planck-Institut für Mathematik, Bonn

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Participants

Guillaume Bossard CNRS & École polytechnique
Francis Brown University of Oxford
Daniel Bump Stanford University
Philip Candelas University of Oxford
YoungJu Choie POSTECH
Xenia de la Ossa University of Oxford
Daniele Dorigoni Durham University
Mehregan Doroudiani Max-Planck-Institut für Gravitationphysik
David Evans Cardiff University
Solomon Friedberg Boston College
Jens Funke Durham University
Herbert Gangl Durham University
Dmitry Gourevitch Weizmann Institute of Science
Michael Green University of Cambridge; Queen Mary University of London
Henrik Gustafsson Umeå University
Jeff Harvey University of Chicago
Martijn Hidding Uppsala Universitet
Özlem Imamoglu ETH Zürich
Eyal Kaplan Bar-Ilan University
David Kazhdan Hebrew University of Jerusalem
Kim Klinger-Logan Rutgers, The State University of New Jersey; Kansas State University
Baiying Liu Purdue University
Steve Miller Rutgers, The State University of New Jersey
Greg Moore Rutgers, The State University of New Jersey
Sunil Mukhi Indian Institute of Science Education and Research (IISER); Tata Institute of Fundamental Research
Sameer Murthy King's College London
Kiyokazu Nagatomo Osaka University; Max Planck Institute for Mathematics
Anubhav Nanavaty University of California, Irvine
Ken Ono University of Virginia
Erik Panzer University of Oxford
Manish Patnaik University of Alberta
Daniel Persson Chalmers University of Technology
Som Phene University of Michigan
Boris Pioline Sorbonne Université; CNRS (Centre national de la recherche scientifique)
Aaron Pollack University of California, San Diego
Brandon Rayhaun Stanford University
Siddhartha Sahi Rutgers, The State University of New Jersey
Oliver Schlotterer Uppsala Universitet
shehryar sikander Rutgers, The State University of New Jersey
Anne Taormina Durham University
Pierre Vanhove CEA/Saclay
Congkao Wen Queen Mary University of London
Katrin Wendland Trinity College Dublin
Don Zagier Max-Planck-Institut für Mathematik, Bonn
Federico Zerbini CEA/Saclay