Workshop on Mathematical Relativity, Scalar Curvature and Synthetic Lorentzian Geometry

October 3 - 7, 2022, The Fields Institute

Location: Fields Institute, Room 230

Description

The synthetic approach towards understanding Ricci curvature in the Riemannian setting has lead to groundbreaking results over the past quarter century. Recent advances towards developing a synthetic version of sectional and Ricci curvature in the Lorentzian setting and of Scalar curvature in the Riemannian setting is highly promising and should lead to deeper understanding of Einstein's theory of gravity. Identifying the relevant notions of convergence for spacetimes is another topic of current interest encompassed by this workshop.

Potential participants include mathematicians and physicists with diverse approaches to these questions to foster communication and to forge a new and unifying perspective.

Schedule

Monday, October 3rd, 2022
09:00 to 09:10	Welcome Ghazal Geshnizjani, University of Waterloo
09:10 to 10:00	The cosmic censorship conjectures in general relativity Mihalis Dafermos, Princeton University and Princeton and Cambridge
10:10 to 10:35	A Lorentzian analog for Hausdorff dimension and measure Clemens Saemann, University of Vienna
10:35 to 11:10	Coffee break
11:10 to 12:00	Synthetic versus distributional lower Ricci curvature bounds Michael Kunzinger, University of Vienna
12:05 to 12:30	Gluing constructions for Lorentzian length spaces Felix Rott, University of Vienna
12:30 to 14:00	Lunch
14:10 to 15:00	Towards a spacetime intrinsic flat convergence Anna Sakovich, Uppsala University
15:10 to 15:35	Hyperbolic angles in Lorentzian (pre-)length spaces Tobias Beran, University of Vienna
15:35 to 16:10	Coffee break
16:10 to 17:00	The ground on which we stand. Fay Dowker, Imperial College London
17:00 to 18:30	Reception

Tuesday, October 4th, 2022
09:00 to 09:50	Emergent Metric Space-Time from Matrix Theory R. Brandenburger, McGill University
09:50 to 10:10	Coffee break
10:10 to 11:00	Extending black hole thermodynamics beyond the black hole Ruth Gregory, King's College London
11:10 to 12:00	Quantum Ricci Curvature and Quantum Gravity Renate Loll, Radboud University
12:00 to 13:30	GROUP PHOTO then Lunch
13:30 to 14:20	Static near horizon geometries and quasi-Einstein metrics Eric Woolgar, University of Alberta
14:25 to 14:50	Remarks on the cosmological constant appearing as an initial condition for Milne-like spacetimes Eric Ling, The Fields Institute
14:50 to 15:10	Coffee break
15:10 to 16:00	How can a continuous group like the Poincar{\'e} group be the symmetry group of a discrete point-set? Rafael Sorkin, Perimeter Institute
16:10 to 17:00	No Title Specified Erik Verlinde, University of Amsterdam

Wednesday, October 5th, 2022
09:00 to 09:25	Extensions of general relativity with limited curvature Jerome Quintin, The Fields Institute and University of Waterloo
09:30 to 09:55	The splitting theorem for Lorentzian length spaces with nonnegative timelike curvature Argam Ohanyan, University of Vienna
09:55 to 10:15	Coffee break
10:15 to 11:05	Timelike Ricci bounds and Einstein's theory of gravity in a non smooth setting Andrea Mondino, University of Oxford
11:10 to 11:35	Sobolev inequalities, Concentration Compactness and applications to the generalized Yamabe equation in the non-smooth setting Francesco Nobili, University of Jyvaskyla
11:35 to 13:30	Lunch
13:30 to 14:20	Synthetic time-like Ricci curvature lower bounds and applications. Fabio Cavalletti, SISSA
14:25 to 14:50	Timelike Ricci bounds for low regularity spacetimes by optimal transport Matteo Calisti, University of Vienna
14:50 to 15:10	Coffee break
15:10 to 16:00	Surprising functors in synthetic and non-synthetic Lorentzian geometry Olaf Müller, Humboldt University of Berlin
16:10 to 17:00	In the marriage of discreteness and Lorentzian-ness, the matchmaker is randomness Fay Dowker, Imperial College London

Thursday, October 6th, 2022
09:00 to 09:50	Rigidity of $3$-D spherical caps via $\mu$-bubbles Yuguang Shi, Peking University
09:50 to 10:10	Coffee break
10:10 to 11:00	Mass, capacitary functions, and the mass-to-capacity ratio Pengzi Miao, University of Miami
11:10 to 12:00	Noncompact fill-ins of Bartnik data Dan Lee, CUNY Queens College
12:00 to 13:30	Lunch
13:30 to 14:20	Existence of static metrics with prescribed Bartnik boundary data Lan-Hsuan Huang, University of Connecticut
14:25 to 14:50	Rigidity of the spacetime positive mass theorem Sven Hirsch, Duke University
14:50 to 15:10	Coffee break
15:10 to 16:00	Minimizing mass, maximizing capacity Jeffrey Jauregui, Union College
16:10 to 17:00	ADM mass for $C^0$ metrics and distortion under Ricci-DeTurck flow Paula Burkhardt-Guim, Courant Institute of Mathematical Sciences, New York University

Friday, October 7th, 2022
09:00 to 09:50	Initial data rigidity and applications Greg Galloway, University of Miami
10:05 to 10:30	Distance estimates under lower scalar curvature bounds in the spin setting and beyond Rudolf Zeidler, University of Münster
10:30 to 10:50	Coffee break
10:50 to 11:40	Intrinsic flat stability of the positive mass theorem for graphical manifolds Raquel Perales, Universidad Nacional Autónoma de México
11:45 to 12:10	Spinors and mass on weighted manifolds Julius Baldauf, Massachusetts Institute of Technology
12:10 to 13:30	Lunch
13:30 to 14:20	On the volume of generalized tubes Annegret Burtscher, Radboud University Nijmegen
14:25 to 14:50	Time functions without manifold structure Leonardo Garcia-Heveling, Radboud University
14:50 to 15:10	Coffee break
15:10 to 16:00	Singularity Theories of Matter, Weak Second Bianchi Identity, and Bray's Mass of ZASS A. Shadi Tahvildar-Zadeh, Rutgers University - New Brunswick
16:10 to 17:00	Counting out the geometry Fay Dowker, Imperial College London

Registered Participants

Name	Affiliation
Samson Abu	Federal College of Education, Okene Nigeri
Luis Ake	UNIVERSIDAD AUTONOMA DE YUCATÁN
Ali Aleali	PAYAME NOOR
Mahamane Saminou Ali	University of Agadez
Brian Allen	Lehman College
MARIOS ANTONIOS APETROAIE	University of Toronto
Eitan Bachmat	Ben Gurion U., Simons Foundation
Eric Bahuaud	Seattle University
Julius Baldauf	Massachusetts Institute of Technology
Gabriel Beiner	University of Toronto
Luca Benatti
Tobias Beran	University of Vienna
Renato Bettiol	City University of New York
Stefano Borghini	University of Milano - Bicocca
Robert Brandenberger	McGill University
Mathias Braun	University of Toronto
Camillo Brena	Scuola Normale Superiore
Saul Burgos	UNIVERSIDAD AUTONOMA DE YUCATÁN
Paula Burkhardt-Guim	Courant Institute of Mathematical Sciences, New York University
Annegret Burtscher	Radboud University Nijmegen
Federico Buseghin	University of Bath
Matteo Calisti	University of Vienna
Emanuele Caputo	University of Jyvaskyla
Michele Caselli	Scuola Normale Superiore
Fabio Cavalletti	SISSA
Nicola Cavallucci	Karlsruher Institut für Technologie
Leonardo Cavenaghi	State University of Campinas
Carla Cederbaum	University of Tübingen
XIAOXIANG CHAI	Korea Institute for Advanced Study
Ishaan Chaturvedi	INDIAN INSTITUTE OF TECHNOLOGY DHANBAD
Mauricio Che Moguel	Durham University
Beomjun Choi	POSTECH
Sankalp Choudhuri	Indian Institute of Science Education and Research Pune
Krzysztof Ciosmak	University of Oxford
Marcos Cossarini	École Polytechnique Fédérale de Lausanne
Gordon Craig	York University
Cameron Davies	University of Toronto
Amirhossein Dehghanizadeh	University of Waterloo
Sergio Alberto De León Martínez	Universidad Autónoma de San Luis Potosí
Kenneth DeMason	University of Texas at Austin
Jialong Deng	Tsinghua University
Qin Deng	Massachusetts Institute of Technology
KIRAN KUMAR DEVASANDRA LAKSHMANA	RV College of Engineering
Praveen Kumar Dhankar	G H Raisoni College of Engineering, Nagpur
Antonia Diana	Scuola Superiore Meridionale (University of Naples Federico II)
Venku Naidu Dogga	IIT Hyderabad
Roberto D'Onofrio	University of Surrey
Tevian Dray	Oregon State University
Filip Dul	Rutgers University - New Brunswick
Khalil El Bourakadi	Faculty of Science Ben M'sik
Dmitry Faifman	Tel Aviv University
Osama Farooqui	University of Toronto
Rafael Ferreira	University of Miami
Francesco Fiorani	University of Oxford
Marco Flaim	University of Bonn
Mattia Fogagnolo	Scuola Normale Superiore
Niloufar Fuladi	Université Gustave Eiffel
xin fu	University of California, Irvine
Fernando Galaz-García	Durham University
Greg Galloway	University of Miami
sarra garah	Larbi Tebessi University
Leonardo Garcia-Heveling	Radboud University
Mitchell Gaudet	University of Toronto
Luca Gennaioli	SISSA
Ghazal Geshnizjani	University of Waterloo
RAHUL GHOSH	Shiv Nadar University
Melanie Graf	University of Tübingen
Ruth Gregory	King's College London
Sharmila Gunasekaran	The Fields Institute
Itamar Halevy
Bangxian Han	USTC
Robert Haslhofer	University of Toronto
Irving Hernández Rosas	Universidad Nacional Autónoma de México
Sven Hirsch	Duke University
Shouhei Honda	Mathematical Institute
Lan-Hsuan Huang	University of Connecticut
Henry Hu	University of Toronto
Xinyu Huo	University of Toronto
Nouhaila INNAN	Hassan II University Of Casablanca
Harsh Jaluka	University of Toronto
Jeffrey Jauregui	Union College
Ding Jia	Perimeter Institute
Yeorgia Kafkoulis	Other
Nikolaos Kalogeropoulos	The American University of Iraq - Baghdad
Beyhan Karakaş	Ege University
Kirill Kashkan	University of Toronto
Atsushi Katsuda	Kyushu University
Christian Ketterer	Mathematical Institute
Seongtag Kim	Inha University
Nour Klikha	USTHB
Hari Kunduri	McMaster University
Michael Kunzinger	University of Vienna
Therese Landry	The Fields Institute
Christian Lange	Ludwig-Maximilians-Universität München
Frederic Lassiaille
Man-Chun lee	The Chinese University of Hong Kong
Nan Li	City University of New York
Eric Ling	The Fields Institute
Michael Lin	Duke University
Sabrina Lin	University of Toronto
Shane Liu	Toronto Metropolitan University
Yucen Liu	University of Toronto
Yuhang Liu	Xi'an Jiaotong-Liverpool University
Xingzhe Li	Cornell University
Yangyang Li	University of Chicago
Renate Loll	Radboud University
John Lott	University of California Berkeley
Jiaxun Lu	University of Toronto
Martin Magid	Wellesley College
Cosmin Manea	ETH Zürich
Gautam Manohar	Stanford University
Tahir Manzoor	Maulana Azad National Urdu University
Opelo Mbakile	University of Botswana
Robert McCann	University of Toronto
Benjamin Meco	Uppsala University
Ingrid Membrillo Solis	University of Southampton
Pengzi Miao	University of Miami
Ettore Minguzzi	Università degli Studi di Firenze
Deeshani Mitra	St Xavier’s College (Autonomous),Kolkata,India
Andrea Mondino	University of Oxford
Sara Motalebi	Eastern Mediterranean University
Olaf Müller	Humboldt University of Berlin
Jonas Mureika	Loyola Marymount University
Lewis Napper	University of Surrey
Stefano Nardulli	Universidade Federal do ABC
Makoto Narita	National Institute of Technology, Okinawa College
Dimitri Navarro	University of Oxford
Robin Neumayer	Carnegie Mellon University
Francesco Nobili	University of Jyvaskyla
Argam Ohanyan	University of Vienna
Francesca Oronzio	Università degli Studi di Napoli "Federico II"
Arkajit Pal Choudhury	Indian Statistical Institute, Kolkata
Kunal Pal	Indian Institute of Technology, Kanpur
Kuntal Pal	Indian Institute of Technology, Kanpur
Jiayin Pan	University of California, Santa Cruz
Subrat Parida	B.J.B. Autonomous College, Utkal University
Shankar D Pathak	Lovely Professional University
SIVASISH PAUL	Ramakrishna Mission Vivekananda Educational and Research Institute, Belur, Howrah, West Bengal, India
Alessandro Pecile
Raquel Perales	Universidad Nacional Autónoma de México
Annachiara Piubello	University of Miami
CURTIS PRO	CSU Stanislaus
Jerome Quintin	The Fields Institute and University of Waterloo
Cale Rankin	The Fields Institute
Srijan Prasad Rauniyar	Arniko Secondary School BRT-10
Mikale Reddy	University of Toronto
Reinaldo Resende	University of São Paulo
Oscar Reula	Universidad Nacional de Córdoba
Hadjar Rezki	Faculty of Material Sciences, University of Batna 1
Bastian Rieck	Helmholtz Munich
Kia Romero Hojjati	Universidad Nacional Autónoma de México
Felix Rott	University of Vienna
Andoni Royo Abrego	University of Tübingen
Clemens Saemann	University of Vienna
Anna Sakovich	Uppsala University
anna sancassani	University of Tübingen
Jan Sbierski	University of Edinburgh
Emily Schaal	Stony Brook University
Daniele Semola	The Fields Institute
Abdullah Shehada	Engineering School of Nuclear Technologies
Xiaobing Sheng	The University of Tokyo
Yuguang Shi	Peking University
Barbara Soda	Perimeter Institute
Luis Carlos Soldevilla Estrada	University of Toronto
Didier Solis	UNIVERSIDAD AUTONOMA DE YUCATÁN
Rafael Sorkin	Perimeter Institute
Christina Sormani	CUNYGC and Lehman College
Ignat Soroko	University of North Texas
Elefterios Soultanis	Radboud University
Harikrishna Sripada	University College of Science, Osmania University
Manu Srivastava	Perimeter Institute
Hunter Stufflebeam	University of Pennsylvania
Pablo Suárez-Serrato	Universidad Nacional Autónoma de México
Paul Sweeney	Stony Brook University
A. Shadi Tahvildar-Zadeh	Rutgers University - New Brunswick
Muhammad Talal	none
Tanmay -	Amity University , Noida
Tomoya Tatsuno	University of Oklahoma
Paul Tee	University of Connecticut
Wenchuan Tian	UC Santa Barbara
Bankteshwar Tiwari	Indian Institute of Technology BHU Varanasi
Konstantinos Topaloglou	University of Athens
Tin Yau Tsang	University of California, Irvine
Georgios Tsimperis	Cardiff University
Jacob Van Hook	University of Pennsylvania
tanmay veer	sits
Mujie Wang	Boston College
Thomas Wannerer	Friedrich Schiller University Jena
Vicky Wen	University of Wisconsin–Madison
Eric Woolgar	University of Alberta
William Wylie	Syracuse University
Yusen Xia	University of California, Santa Barbara
Jialin Xin	University of Toronto
QiLin Xue	University of Toronto
Kai Xu	Duke University
Lei Yu	Tongji University
Xiao Yu	University of Toronto
Rudolf Zeidler	University of Münster
Yichen Zhang	Tsinghua University
Yingying Zhang	Tsinghua University
Xinrui Zhao	Massachusetts Institute of Technology
Bo Zhu	Math