Making the bridge: Exploring new connections between number theory and physics

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Workshop theme

This workshop serves as the kick-off event for the 2-month programme on “New connections in number theory and physics”

Connections between mathematics and physics have been a source of great progress in each area. Recently, new connections have emerged between automorphic objects in number theory and parts of physics, including string theory and the statistical models of crystals. This workshop is meant to serve as an introduction to these areas and these connections. It includes lecture series on topics that are foundational for the overall theme, including automorphic forms, automorphic representations, mock modular forms, string scattering amplitudes and connections between the Langlands program and physics. The workshop is intended for researchers in number theory and physics, including graduate students and postdocs in these areas, who wish to learn more about these new connections.

Speakers

Solomon Friedberg - Automorphic forms and representation theory

Stephen S. Kudla - Theta correspondences

Oliver Schlotterer - String scattering amplitudes and automorphic forms

Gordan Savin - Small (automorphic) representations

Miranda Cheng - Mock modular forms
Marcus Berg - String amplitudes and automorphic forms

David Ben-Zvi - The Langlands Program as Electric-Magnetic Duality

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 timings and location will be confirmed with timetable.

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

Formal Dinner The Formal Dinner location and date is to be confirmed.

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

Timetable

Monday 1st August 2022
10:00 to 10:45	Registration	No Room Required
10:45 to 11:10	Morning Coffee	No Room Required
11:10 to 11:15	Christie Marr Isaac Newton Institute Welcome Talk	Room 1
11:15 to 12:15	Miranda Cheng Universiteit van Amsterdam Mock Modular Forms and Applications I	Room 1
12:15 to 13:30	Lunch	No Room Required
13:30 to 14:30	Marcus Berg Karlstad University String amplitudes and automorphic forms	Room 1
14:30 to 15:30	Oliver Schlotterer Uppsala Universitet String scattering and generalized automorphic forms I	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	David Ben-Zvi University of Texas at Austin The Langlands Program as Electric-Magnetic Duality I	Room 1
17:00 to 18:00	Welcome Wine Reception at INI	No Room Required

Tuesday 2nd August 2022
09:00 to 10:00	Miranda Cheng Universiteit van Amsterdam Mock Modular Forms and Applications II	Room 1
10:00 to 11:00	Solomon Friedberg Boston College Automorphic forms and representation theory, I	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Stephen Kudla University of Toronto Intro to the theta correspondence I	Room 1
12:15 to 13:30	Lunch	No Room Required
13:30 to 14:30	Discussion	Room 1
14:30 to 15:30	David Ben-Zvi University of Texas at Austin The Langlands Program as Electric-Magnetic Duality II	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Oliver Schlotterer Uppsala Universitet String scattering and generalized automorphic forms II	Room 1

Wednesday 3rd August 2022
09:00 to 10:00	Solomon Friedberg Boston College Automorphic forms and representation theory, II	Room 1
10:00 to 11:00	Stephen Kudla University of Toronto Intro to the theta correspondence II	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Marcus Berg Karlstad University String amplitudes and automorphic forms II	Room 1
12:15 to 12:20	Group photo	No Room Required
12:20 to 13:20	Lunch	No Room Required
19:30 to 22:00	Formal Dinner at Christ's College	No Room Required

Thursday 4th August 2022
09:00 to 10:00	Miranda Cheng Universiteit van Amsterdam Mock Modular Forms and Applications III	Room 1
10:00 to 11:00	Solomon Friedberg Boston College Automorphic forms and representation theory, III	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	David Ben-Zvi University of Texas at Austin The Langlands Program as Electric-Magnetic Duality III	Room 1
12:15 to 13:30	Lunch	No Room Required
13:30 to 14:30	Gordan Savin University of Utah Small representations I	Room 1
14:30 to 15:30	Oliver Schlotterer Uppsala Universitet String scattering and generalized automorphic forms III	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Stephen Kudla University of Toronto Intro to the theta correspondence III	Room 1

Friday 5th August 2022
09:00 to 10:00	Gordan Savin University of Utah Small representations II	Room 1
10:00 to 11:00	Axel Kleinschmidt Max-Planck-Institut für Gravitationphysik String scattering and automorphic representations	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	David Ben-Zvi University of Texas at Austin The Langlands Program as Electric-Magnetic Duality IV	Room 1
12:15 to 13:30	Lunch	No Room Required

New connections in number theory and physics

Making the bridge: Exploring new connections between 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

David Ben-Zvi University of Texas at Austin
Marcus Berg Karlstad University
Miranda Cheng Universiteit van Amsterdam
Solomon Friedberg Boston College
Axel Kleinschmidt Max-Planck-Institut für Gravitationphysik
Stephen Kudla University of Toronto
Gordan Savin University of Utah
Oliver Schlotterer Max-Planck-Institut für Gravitationphysik

Participants

Divya Maneesha Ampagouni University of California, Santa Cruz
Glenn Barnich Université Libre de Bruxelles
David Ben-Zvi University of Texas at Austin
Marcus Berg Karlstad University
Valentin Buciumas Universiteit van Amsterdam
Daniel Bump Stanford University
Philip Candelas University of Oxford
YoungJu Choie POSTECH
Rahul Dalal Johns Hopkins University
Marco David École Normale Supérieure; Uppsala Universitet
Xenia de la Ossa University of Oxford
Mehregan Doroudiani Max-Planck-Institut für Gravitationphysik
Joshua Drewitt University of Nottingham
Eric D’Hoker University of California, Los Angeles
David Evans Cardiff University
Solomon Friedberg Boston College
Jens Funke Durham University
Wee Teck Gan National University of Singapore
Terry Gannon University of Alberta
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
Will Hoffer University of California, Riverside
Eyal Kaplan Bar-Ilan University
Kim Klinger-Logan Rutgers, The State University of New Jersey; Kansas State University
Stephen Kudla University of Toronto
Baiying Liu Purdue University
Adrien Loty École Polytechnique
Tobias Magnusson Chalmers University of Technology
Yves Martin Universidad de Chile
Javier Navarro Universidad Técnica Federico Santa María
Erik Panzer University of Oxford
Manish Patnaik University of Alberta
Daniel Persson Chalmers University of Technology
Roger Plymen University of Manchester
Brandon Rayhaun Stanford University
Carlos Rodriguez Uppsala Universitet
Siddhartha Sahi Rutgers, The State University of New Jersey
Gordan Savin University of Utah
Oliver Schlotterer Uppsala Universitet
Haluk Sengun University of Sheffield
Freydoon Shahidi Purdue University
shehryar sikander Rutgers, The State University of New Jersey
Izabella Stuhl University of Cambridge
Yuri Suhov University of Cambridge
Alice Svärdström Chalmers University of Technology
Anne Taormina Durham University
Rudolfs Treilis University of Durham
Jackson Van Dyke University of Texas at Austin
Roberto Volpato Università degli Studi di Padova
Congkao Wen Queen Mary University of London
Katrin Wendland Trinity College Dublin
Don Zagier Max-Planck-Institut für Mathematik, Bonn
Federico Zerbini CEA/Saclay

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