Workshop on Recent Applications of Model Theory

July 22 - 26, 2019, The Fields Institute

Location: Fields Institute, Room 230

Description

Applied model theory is currently experiencing a golden age. The past decade has seen fundamental contributions to a broad range of topics in algebra, geometry, number theory, combinatorics, and analysis. This workshop will focus on applications of model theory to the following areas:

1. Arithmetic Geometry.
2. Additive Combinatorics.
3. Algebraic Dynamics.
4. Valued fields.
5. Differential Algebra.

It is our hope that bringing together experts in these various applications of model theory will be mutually beneficial and lead to new insight into some of the more difficult problems.

Note: The conference will start at 10am Monday and finish at 3:30pm Friday.

Confirmed Speakers

Nir Avni (Northwestern)
Ozlem Beyarslan (Bogazici)
Artem Chernikov (UCLA)
Gabriel Conant (Notre Dame)
Antoine Ducros (Jussieu)
Allen Gehret (UCLA)
Deirdre Haskell (McMaster)
Franziska Jahnke (Munster)
Remi Jaoui (Waterloo)
Piotr Kowalski (Wroclaw)
Alice Medvedev (CUNY)
Khoa Nguyen (Calgary)
Florian Pop (UPenn)
Silvain Rideau (CNRS – Paris Diderot)
Thomas Scanlon (Berkeley)
Tomer Schlank (Hebrew University)
Sergei Starchenko (Notre Dame)
Caroline Terry (Maryland)
Adam Topaz (Alberta)

Schedule

Monday, July 22nd, 2019
10:00 to 11:00	Restricted analytic functions on convexly valued ordered fields Deirdre Haskell, McMaster University
11:00 to 11:30	Coffee break
11:30 to 12:30	First order rigidity, bi-interpretation, and higher rank lattices. Nir Avni, Northwestern University
12:30 to 14:30	Lunch
14:30 to 15:30	Towards a Model Theory of Logarithmic Transseries Allen Gehret, University of California, Los Angeles
15:30 to 16:00	Coffee break
16:00 to 17:00	Ultra products and asymptotical phenomenon in homotopy theory Tomer Schlank, The Hebrew University of Jerusalem

Tuesday, July 23rd, 2019
09:30 to 10:30	Model-theoretic generalizations of the Elekes-Szabo theorem (Part 1) Artem Chernikov, University of California, Los Angeles
10:30 to 11:00	Coffee break
11:00 to 12:00	Model-theoretic generalizations of the Elekes-Szabo theorem (Part 2) Starchenko Sergei, University of Notre Dame
12:00 to 14:00	Lunch
14:00 to 15:00	A stable arithmetic regularity lemma in finite abelian groups Caroline Terry, University of Chicago
15:00 to 15:30	Coffee break
15:30 to 16:30	Arithmetic Regularity with Forbidden Bipartite Configurations Gabriel Conant, University of Notre Dame

Wednesday, July 24th, 2019
09:00 to 10:00	Difference sheaf cohomology Piotr Kowalski, Uniwersytet Wroclawski
10:00 to 10:30	Coffee break
10:30 to 11:30	A dynamical variant of the Pink-Zilber conjecture Dang-Khoa Nguyen, University of Calgary
11:30 to 12:30	Parameterization of divisorial valuations and applications Adam Topaz, University of Alberta

Thursday, July 25th, 2019
09:30 to 10:30	Non-standard integration and non-archimedean geometry. Antoine Ducros, Sorbonne Universite
10:30 to 11:00	Coffee break
11:00 to 12:00	Henselian expansions of NIP fields Franziska Jahnke, WWU Münster
12:00 to 13:30	Lunch
14:00 to 15:00	Asymptotic imaginaries in Fp((t))ˆalg with the Frobenius Silvain Rideau-Kikuchi, Centre national de la recherche scientifique (CNRS) and Université de Paris
15:00 to 15:30	Coffee break
15:30 to 16:30	From Ax-Schanuel to effective Zilber-Pink and geometric stability Thomas Scanlon, University of California Berkeley

Friday, July 26th, 2019
09:30 to 10:30	Around two commuting field automorphisms. Alice Medvedev, The City College of New York, CUNY
10:30 to 11:00	Coffee break
11:00 to 12:00	Disintegration of autonomous algebraic differential equations Rémi Jaoui, University of Waterloo
12:00 to 13:30	Lunch
13:30 to 14:30	Model Theory of Group Actions on Fields Özlem Beyarslan, Bogazici University
14:30 to 15:00	Coffee break
15:00 to 16:00	Generalizations of a Conjecture by Colliot-Thelene (CCT) Florian Pop, University of Pennsylvania

Registered Participants

Name	Affiliation
Nir Avni	Northwestern University
Jason Bell	University of Waterloo
Özlem Beyarslan	Bogazici University
Hunter Chase	University of Illinois at Chicago
Zoe Chatzidakis	Centre national de la recherche scientifique (CNRS) and Ecole Normale Supérieure
Artem Chernikov	University of California, Los Angeles
Eugenio Colla	Università di Torino
Gabriel Conant	University of Notre Dame
Greg Cousins	McMaster University
Matthew DeVilbiss	University of Illinois at Chicago
Antoine Ducros	Sorbonne Universite
Esther ELBAZ	Ben-Gurion University of the Negev
Allen Gehret	University of California, Los Angeles
Itay Glazer	Weizmann Institute of Science
Yatir Halevi	Ben-Gurion University of the Negev
Bradd Hart	McMaster University
Deirdre Haskell	McMaster University
Christopher Hawthorne	University of Waterloo
Yotam Hendel	Weizmann Institute of Science
Martin Hils	Westfälische Wilhelms-Universität Münster
Daniel Max Hoffmann	Uniwersytet Warszawski
Kai Ino	University of Manchester
Franziska Jahnke	WWU Münster
Rémi Jaoui	University of Waterloo
Will Johnson	Fudan University
Moshe Kamensky	Ben-Gurion University of the Negev
Ulla Karhumäki	University of Manchester
Piotr Kowalski	Uniwersytet Wroclawski
Nathanaël Mariaule	University of Mons
Amadorr Martin-Pizarro	Albert-Ludwigs-Universitaet Freiburg
Marcos Mazari Armida	Carnegie Mellon University
Alice Medvedev	The City College of New York, CUNY
Rahim Moosa	University of Waterloo
Dang-Khoa Nguyen	University of Calgary
Florian Pop	University of Pennsylvania
Sacha Post	Universidad de los Andes
Wilson Poulter	University of Waterloo
Silvain Rideau-Kikuchi	Centre national de la recherche scientifique (CNRS) and Université de Paris
Thomas Scanlon	University of California Berkeley
Tomer Schlank	The Hebrew University of Jerusalem
Starchenko Sergei	University of Notre Dame
Caroline Terry	University of Chicago
Adam Topaz	University of Alberta
Li Wang	College of New Caledonia
Meizhong Wang	College of New Caledonia