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30/08/2021 03/09/2021

Branching from number theory: p-adics in the sciences

The intention of this meeting is to study p-adic analogues of classical (i.e. archimedean) topics, such as random variables and metric measure theory, with a view toward applications in other areas of mathematics. The workshop will feature mini-courses by Claus Fieker, Ngoc Mai Tran, Peter Schneider, a number of invited talks, and discussion sessions.

Mini-Courses

  • Claus Fieker (TU Kaiserslautern) - Title: Local computations to solve global problems
  • Peter Schneider (WWU Münster) - Title: Local p-adic analysis
  • Ngoc Mai Tran (UT Austin) - Title: p-adics and tropical Gaussians

Invited Speakers

Participation is possible both in-person (preferred but limited) and online (problem sessions excluded). For in-person attendance, the "first come first serve" rule will be enforced: if you wish to join the meeting in Leipzig, please register soon. In-person registration is closed.

Rules about in-person attendance might be affected by developments on the ongoing pandemic. As of today, in-person events at the MPI MiS allow up to a maximum of 25 participants. Catering is not yet permitted and all external participants and speakers have to provide a negative corona test (or vaccination record). The internal regulations of the institute are constantly being updated and are available here.

Program

Aug 30, 2021
09:00 - 09:15
09:15 - 10:15 Claus Fieker (TU-Kaiserslautern, Kaiserslautern, Germany)
10:30 - 11:30 Peter Schneider (Universität Münster, Münster, Germany)
11:40 - 12:30 Sabrina Pauli (Universität Duisburg-Essen, Essen, Germany)
An Introduction to A1-enumerative geometry
12:30 - 13:30
13:30 - 16:00
16:00 - 17:00
Aug 31, 2021
09:15 - 10:15 Claus Fieker (TU-Kaiserslautern, Kaiserslautern, Germany)
10:30 - 11:30 Peter Schneider (Universität Münster, Münster, Germany)
11:40 - 12:30 Josh Maglione (Universität Bielefeld, Bielefeld, Germany)
Igusa zeta functions and flag Hilbert--Poincaré series
12:30 - 13:30
13:30 - 16:00
16:00 - 17:00
Sep 1, 2021
09:15 - 10:15 Claus Fieker (TU-Kaiserslautern, Kaiserslautern, Germany)
10:30 - 11:30 Peter Schneider (Universität Münster, Münster, Germany)
11:40 - 12:30 Jennifer Balakrishnan (Boston University, Boston, USA)
Explicit p-adic integration on curves
12:30 - 13:30
13:30 - 16:00
16:00 - 17:00
Sep 2, 2021
09:15 - 10:15 Claus Fieker (TU-Kaiserslautern, Kaiserslautern, Germany)
10:30 - 11:30 Peter Schneider (Universität Münster, Münster, Germany)
11:40 - 12:30 Tristan Vaccon (Université de Limoges, Limoges, France)
On the computation of p-adic Gröbner bases
12:30 - 14:00
14:00 - 16:00
16:00 - 17:00
Sep 3, 2021
09:30 - 10:20 Peter Bürgisser (Technische Universität Berlin, Berlin, Germany)
Integral geometry in nonarchimedean spaces
10:40 - 11:30 Yassine EL Maazouz (U.C. Berkeley, Leipzig, Germany)
Gaussian measures and random processes
11:40 - 12:30 Stevan Gajović (University of Groningen, Groningen, Netherlands)
The density of polynomials of degree n over Zp that have exactly r roots in Qp

Participants

Rida Ait El Manssour

MPI MiS

Dushyant Arora

Siemens Aerospace VMM

Jennifer Balakrishnan

Boston University

Alexander Best

Vrije Universiteit Amsterdam

Sandipan Bhattacherjee

Birla Institute of Technology Mesra

Peter Bürgisser

Technische Universität Berlin

Andrei Comăneci

Technische Universität Berlin

Matthew Conder

University of Auckland

Isobel Davies

OvGU Magdeburg

Holger Eble

TU Berlin

Yassine EL Maazouz

U.C. Berkeley

Muthu Meena Lakshmanan Esakkivelu

SRM Institute of Science and Technology

Samantha Fairchild

Max Planck Institute for Mathematics in the Sciences

Claus Fieker

TU-Kaiserslautern

Ludwig Fürst

University Groningen

Stevan Gajović

University of Groningen

Michael Groechenig

University of Toronto

Paul Helminck

Durham University

Louis Jaburi

Imperial College

Aashraya Jha

Boston university

Enis Kaya

University of Groningen

Timo Keller

Universität Bayreuth

Axel Kolschbach Ortego

Max Planck Institut für Mathematik, Bonn

Lukas Kühne

MPI MiS

Avinash Kulkarni

Dartmouth College

Antonio Lerario

SISSA

Josh Maglione

Universität Bielefeld

Emeryck Marie

Technische Universität Chemnitz

Marc Masdeu

Universitat Autònoma de barcelona

Benjamin Matschke

Boston University

Stephen McKean

Duke University

Mentzelos Melistas

Steklov Mathematical Institute

Aritriya Mukhapadhyay

Chennai Mathematical Institute

Steffen Müller

Rijksuniversiteit Groningen

Chamir Ngandjia Mbembe

TU Chemnitz

Son Nguyen

University of Alabama

Sedric Nkotto Nkung Assong

MPIM

Guglielmo Nocera

Scuola Normale Superiore

Sabrina Pauli

Universität Duisburg-Essen

J Rogelio Pérez Buendía

CONACyT CIMAT - Mérida

Gleb Pogudin

Ecole Polytechnique

Yue Ren

Durham University

Kemal Rose

MPI Leipzig

Ilaria Rossinelli

University of Pavia

Jeroen Schillewaert

University of Auckland

Peter Schneider

Universität Münster

Roy Shmueli

Tel Aviv University

Himanshu Shukla

University of Bayreuth

Mima Stanojkovski

RWTH Aachen

Bernd Sturmfels

Max Planck Institute for Mathematics in the Sciences

Eloi Torrents

Universitat Autònoma de Barcelona

Ngoc Mai Tran

UT Austin

George Turcas

Babes-Bolyai University

Tristan Vaccon

Université de Limoges

Marlies Vantomme

Universität Bielefeld

John Voight

Dartmouth College

Haoran Wang

Tsinghua University

Yujia Yin

University Of Toronto

Anton Zadorin

MiS MPI

Scientific Organizers

Enis Kaya

University of Groningen

Avinash Kulkarni

Dartmouth College

Antonio Lerario

SISSA

Mima Stanojkovski

RWTH Aachen

Administrative Contact

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail