Number theory, machine learning and quantum black holes

Workshop theme

This workshop aims to bring together researchers from number theory, automorphic representation theory and string theory to explore how automorphic forms that encode degeneracies of BPS could be related to and feed into information theoretic concepts such as quantum error corrections, applied to BPS and near-extremal black hole backgrounds, and to develop machine learning techniques to unveil some of the hitherto undefined automorphic structures underlying the generating functions for BPS black hole microstates in superstring models. This event is the first workshop of the 4-month long BLH programme at the INI centred around the same topics.

Applications for physical participation have now closed, but we are accepting applications for virtual attendance until Friday 22nd September 2023.

Applications for this workshop are now closed

Fees

Registration Only

Registration Package: £218
Student Registration Package: £168

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.

Virtual Registration

Virtual Registration Package: £0

Virtual registration is free, and includes virtual admission to all seminars and does not include physical attendance, meals or accommodation.

Formal Dinner Only

Formal Dinner: £60

Participants on the 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

Unfortunately we do not have any accommodation to offer so all successful applicants will need to source their own accommodation.

Please see the Hotels Combined website for a list of local hotels and guesthouses.

Meals

Lunch Lunch timings and location will be confirmed with the 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 Registration Package, including organisers and speakers, are automatically included in this event.

The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Number theory, machine learning and quantum black holes, where work on this paper was undertaken. This work was supported by EPSRC grant EP/R014604/1.

Timetable

Monday 2nd October 2023
09:30 to 09:55	Morning Coffee and Registration	No Room Required
09:55 to 10:00	Milla Kibble Aalborg Universitet Welcome Talk	Room 1
10:00 to 11:00	Kevin Buzzard Imperial College London An introduction to the Langlands Program	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Abhiram Kidambi University of Tokyo; Max Planck Institute for Mathematics g = 2 hyperelliptic curve invariants, Siegel modular functions and applications	Room 1
12:30 to 13:30	Lunch at Churchill College	No Room Required
13:30 to 14:30	Shlomo Razamat Technion - Israel Institute of Technology Comments on eigenfunctions of integrable models and 4d N=1 SQFTs	Room 1
14:30 to 15:30	Ioana Coman University of Tokyo Mock modular forms as Z-invariants	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
17:00 to 18:00	Welcome Wine Reception at the INI	No Room Required

Tuesday 3rd October 2023
09:30 to 10:30	Wei Li Institute of Theortetical Physics, Chinese Academy of Sciences Quiver Yangians and their applications	Room 1
10:30 to 11:00	Group Photo and Morning Coffee	No Room Required
11:00 to 12:00	Murad Alim Universität Hamburg Resurgence, BPS structures and topological string S-duality	Room 1
12:00 to 13:30	Lunch at Churchill College	No Room Required
13:30 to 14:30	Marti Rosselló King's College London The Rademacher expansion and the gravitational path integral for N=4 dyons	Room 1
14:30 to 15:30	Kyu-Hwan Lee University of Connecticut How to Apply Machine Learning to Number Theory	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required

Wednesday 4th October 2023
09:30 to 10:30	Sergei Alexandrov Université de Montpellier Modular bootstrap for compact Calabi-Yau threefolds	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 12:00	Thomas Oliver Teesside University Murmurations in arithmetic	Room 1
12:00 to 13:30	Lunch at Churchill College	No Room Required
13:30 to 14:30	Boris Pioline Sorbonne Université; CNRS (Centre national de la recherche scientifique) Attractor flow trees and scattering diagrams	Room 1
14:30 to 15:30	Alejandro Cabo Bizet Università del Salento Black hole thermodynamics from N = 4 SYM: perturbations beyond supersymmetry and extremality	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
19:30 to 22:00	Formal Dinner at Robinson College	No Room Required

Thursday 5th October 2023
09:30 to 10:30	Masahito Yamazaki University of Tokyo Eisenstein Series and Ensemble Averages in Holography	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 12:00	Kaiwen Sun Max Planck Institute for Mathematics Hecke operator and CFTs	Room 1
12:00 to 13:30	Lunch at Churchill College	No Room Required
13:30 to 14:30	Caner Nazaroglu University of Cologne Averaging to Higher Depth Mock Modular Forms	Room 1
14:30 to 15:30	Jan Manschot Trinity College Dublin Black holes, TTbar deformed conformal field theory, and weak gravity	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required

Friday 6th October 2023
09:00 to 10:00	Nathan Benjamin CALTECH (California Institute of Technology) Scalar Modular Bootstrap and Zeros of the Riemann Zeta Function	Room 1
10:00 to 11:00	Edward Hirst Queen Mary University of London Machine Learning Sasakian and G2 Topology on Contact Calabi-Yau 7-manifolds	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Scott Collier Princeton University 3d quantum gravity and Virasoro TQFT	Room 1
12:30 to 13:30	Lunch at Churchill College	No Room Required
13:30 to 14:30	Kimyeong Lee Korea Institute for Advanced Study (KIAS) T-duality of 6d (2,0) and (1,1) Little String Theories with Twist	Room 1
14:30 to 15:30	Albrecht Klemm Physikalisches Institut Bonn University; Universität Bonn ; Yang-Hui He London Institute for Mathematical Sciences; University of Oxford Calabi-Yau periods, Modularity and Arithmetic Geometry; Workshop Wrap-Up: New Results,Challenges and Possibilities	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required

Black holes: bridges between number theory and holographic quantum information

Number theory, machine learning and quantum black holes

Organisers

Suresh Nampuri Instituto Superior Técnico, Lisboa

Speakers

Sergei Alexandrov Université de Montpellier
Murad Alim Universität Hamburg
Nathan Benjamin CALTECH (California Institute of Technology)
Kevin Buzzard Imperial College London
Alejandro Cabo Bizet Università del Salento
Scott Collier Princeton University
Ioana Coman University of Tokyo
Yang-Hui He London Institute for Mathematical Sciences; University of Oxford
Edward Hirst Queen Mary University of London
Milla Kibble Aalborg Universitet
Abhiram Kidambi University of Tokyo; Max Planck Institute for Mathematics
Albrecht Klemm Physikalisches Institut Bonn University; Universität Bonn
Kimyeong Lee Korea Institute for Advanced Study (KIAS)
Kyu-Hwan Lee University of Connecticut
Wei Li Institute of Theortetical Physics, Chinese Academy of Sciences
Jan Manschot Trinity College Dublin
Caner Nazaroglu University of Cologne
Thomas Oliver Teesside University
Boris Pioline Sorbonne Université; CNRS (Centre national de la recherche scientifique)
Shlomo Razamat Technion - Israel Institute of Technology
Marti Rosselló King's College London
Kaiwen Sun Max Planck Institute for Mathematics
Masahito Yamazaki University of Tokyo

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Participants

SUNDAY Adebisi University of Lagos
Hamza Ahmed Northeastern University
Sergei Alexandrov Université de Montpellier
Roger Alfredo Universidade Estadual de Campinas
Murad Alim Universität Hamburg
Cameron Beetar University of Cape Town
Nathan Benjamin CALTECH (California Institute of Technology)
Per Berglund University of New Hampshire
Suzanne Bintanja Universiteit van Amsterdam
Kevin Buzzard Imperial College London
Alejandro Cabo Bizet Università del Salento
Nana Cabo Bizet Universidad de Guanajuato
Alejandra Castro University of Cambridge
Francesco Cavina Vrije Universiteit Amsterdam
Marrium Chughtai Swansea University
Emiel Claasen Max-Planck-Institut für Gravitationphysik
Scott Collier Princeton University
Ioana Coman University of Tokyo
Hao Cui University of Oxford
Marina David KU Leuven
José de Jesús Pérez Lona Universidad de Guanajuato
Robert de Mello Koch Huzhou University
Sashadhar Dutta Ramakrishna Mission Vivekananda Centenary College
Johanna Erdmenger Julius-Maximilians-Universität Würzburg
RICHA HALDER Indian Institute of Science Education and Research (IISER)
Yang-Hui He London Institute for Mathematical Sciences; University of Oxford
Edward Hirst Queen Mary University of London
Abhiram Kidambi University of Tokyo; Max Planck Institute for Mathematics
Albrecht Klemm Physikalisches Institut Bonn University; Universität Bonn
Kimyeong Lee Korea Institute for Advanced Study (KIAS)
Kyu-Hwan Lee University of Connecticut
Wei Li Institute of Theortetical Physics, Chinese Academy of Sciences
Lek-Heng Lim University of Chicago
Sandip Limbu University of Leicester
Gabriel Lopes Cardoso Instituto Superior Técnico, Lisboa
David Lowe Brown University
Yuting Lu University of Tokyo
Swapna Mahapatra UTKAL UNIVERSITY
Suvajit Majumdar City, University of London
Jan Manschot Trinity College Dublin
Diego Marques Universidade de Brasilia
Victoria Martin University of Iceland
Damian Mayorga Peña University of the Witwatersrand; Instituto Superior Técnico, Lisboa
Suresh Nampuri Instituto Superior Técnico, Lisboa
Joydeep Naskar Northeastern University
Caner Nazaroglu University of Cologne
Thomas Oliver Teesside University
Boris Pioline Sorbonne Université; CNRS (Centre national de la recherche scientifique)
Rahul Poddar University of Iceland
Mohammad Reza Rahmati Centro de Investigación en Matemáticas
Vaibhav Singh Rawat Eberhard Karls Universität Tübingen
Shlomo Razamat Technion - Israel Institute of Technology
Marti Rosselló King's College London
Bashir Salami University of Ibadan
Vishnuthirtha SandurHuliraj University of Bologna
Sreevatsa Sasisekar Technische Universität Kaiserslautern
Amal Seddas EPFL - Ecole Polytechnique Fédérale de Lausanne
Abinash Swain None / Other
Zhao-He Watse Sybesma University of Cambridge
Larus Thorlacius University of Iceland
Manus Visser University of Cambridge
Aron Wall University of Cambridge
Masahito Yamazaki University of Tokyo
Haiyan Yu Chongqing University