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MPI für Mathematik in den Naturwissenschaften Leipzig
Live Stream
conference
06.04.21 09.04.21

(Polytop)ics: Recent advances on polytopes

Polytopes have been present since the dawn of civilization, in the pyramids of Egypt and the platonic solids of Greece. They are fundamental objects in modern mathematics and naturally appear in many different fields, from optimization to algebraic geometry.

In recent years we have seen solutions to old problems as well as new exciting directions emerge. The aim of this conference is to provide an overview of the recent advances as well as showcasing some important questions for the future. Along with invited and contributed talks, we will have open problem sessions where participants can present a problem that they find interesting.

Confirmed Speakers are:

The deadline for submitting contributed talks is March 9, 2021. General registration deadline is March 30, 2021.

The link to the virtual event will be made available via email to the registered participants in due time.

Program

09:00 - 10:00
10:00 - 10:30
10:30 - 11:30 Michael Joswig (TU Berlin & MPI MiS, Berlin, Germany)
Geometric disentanglement by random convex polytopes
11:30 - 12:00
12:00 - 13:00 Francisco Santos (Universidad de Cantabria, Santander, Spain)
Empty simplices of large width
16:00 - 17:00 Nick Early (Institute for Advanced Study, Princeton, USA)
Generalized scattering amplitudes, matroidal blade arrangements and the positive tropical Grassmannian
17:00 - 17:30
17:30 - 18:30
17:30 - 18:30
17:30 - 18:30 Christoph Hertrich (TU Berlin, Berlin, Germany)
Tackling neural network expressivity via polytopes
17:30 - 18:30 Sophie Rehberg (Freie Universität Berlin, Berlin, Germany)
Combinatorial reciprocity theorems for generalized permutahedra, hypergraphs, and pruned inside-out polytopes
17:30 - 18:30 Jose Bastidas (Cornell University, Ithaca, USA)
Generators for type B permutahedra via McMullen's polytope algebra
17:30 - 18:30 Jonathan Leake (TU Berlin, Berlin, Germany)
Flow polytope volume bounds via polynomial capacity
18:30 - 19:00
19:00 - 20:00
09:00 - 10:00 Katharina Jochemko (KTH Royal Institute of Technology, Stockholm)
Generalized permutahedra: Minkowski linear functionals and Ehrhart positivity
10:00 - 10:30
10:30 - 11:30 Matthias Beck (San Francisco State & FU Berlin, San Francisco, USA)
Rational Ehrhart Theory
11:30 - 12:00
12:00 - 13:00
12:00 - 13:00
12:00 - 13:00 Theo Douvropoulos (University of Massachusetts, Amherst, Amherst, USA)
Volumes of root zonotopes via the W-Laplacian
12:00 - 12:30 Doriann Albertin (Université Gustave Eiffel, Champs-sur-Marne, France)
Type cones of permutree fans
12:00 - 12:30 Martin Winter (TU Chemnitz, Chemnitz, Germany)
Capturing polytopal symmetries in the edge-graph
12:00 - 13:00 Luis Ferroni (University of Bologna, Bologna, Italy)
The Erhart polynomials of matroids and hypersimplices
16:00 - 17:00
17:00 - 17:30
17:30 - 18:30 Laura Escobar (Washington University in St. Louis, St. Louis, USA)
Determining the complexity of Kazhdan-Lusztig varieties
18:30 - 19:00
19:00 - 20:00 Igor Pak (UCLA, Los Angeles, USA)
Domes over curves
09:00 - 10:00 Günter M. Ziegler (Freie Universität Berlin, Berlin, Germany)
Problems and methods, examples and counterexamples
10:00 - 10:30
10:30 - 11:30 Raman Sanyal (Goethe-Universität Frankfurt, Frankfurt am Main, Germany)
Normally inscribable polytopes
11:30 - 12:00
12:00 - 13:00
16:00 - 17:00 Karola Meszaros (Cornell University, Ithaca, USA)
Schubert polynomials from a polytopal point of view
17:00 - 17:30
17:30 - 18:30
17:30 - 18:30
17:30 - 18:00 Rida Ait El Manssour (MPI MiS, Leipzig, Germany)
Stable set polytopes in differential algebra
17:30 - 18:30 Aniket Shah (Ohio State University, Columbus, USA)
A q-analogue of Brion's identity from quantum K-theory
17:30 - 18:00 Alex Black (UC Davis, Davis, USA)
Monotone paths on cross-polytopes
17:30 - 18:30 Mariel Supina (University of California, Berkeley, Berkeley, CA, USA)
The universal valuation of Coxeter matroids
18:30 - 19:00
19:00 - 20:00 Fu Liu (University of California, Davis, Davis, USA)
Permuto-associahedra as deformations of nested permutohedra
09:00 - 10:00 Arnau Padrol (Sorbonne Université, Paris, France)
Shard polytopes
10:00 - 10:30
10:30 - 11:30
10:30 - 11:30
10:30 - 11:30 Sophia Elia (Freie Universität Berlin, Berlin, Germany)
Congruence normality for simplicial hyperplane arrangements
10:30 - 11:30 Marta Panizzut (TU Berlin, Berlin, Germany)
Algebraic degrees of 3-dimensional polytopes
10:30 - 11:00 Akiyoshi Tsuchiya (University of Tokyo, Meguro-ku, Japan)
Castelnuovo polytopes
10:30 - 11:00 Eva Philippe (Ecole Normale Supérieure de Paris, Paris, France)
Sweeps of a point configuration
11:30 - 12:00
12:00 - 13:00 Christos Athanasiadis (National and Kapodistrian University of Athens, Athens, Greece)
Face numbers of barycentric subdivisions of cubical polytopes
16:00 - 17:00 Martina Juhnke (Universität Osnabrück, Osnabrück, Germany)
On the bond polytope
17:00 - 17:30
17:30 - 18:30 Victor Reiner (University of Minnesota - Twin Cities, Minneapolis, USA)
Universal parameters for Stanley-Reisner rings and a colorful Hochster formula
18:30 - 19:00
19:00 - 20:00 Federico Ardila (San Francisco State University / Universidad de Los Andes, San Francisco, Colombia)
A tale of two polytopes: The bipermutohedron and the harmonic polytope

Participants

Ron Adin

Bar-Ilan University

Marcelo Aguiar

Cornell University

Rida Ait El Manssour

MPI MiS

Mohammed Saquib Alam

KTH

Doriann Albertin

Université Gustave Eiffel

Anne Albuquerque

Universidade Federal Fluminense

Carlos Alejandro Alfaro

Banco de Mexico

Elie Alhajjar

United States Military Academy

Ayah Almousa

Cornell University

Ulysses Alvarez

Binghamton University

Imran Anwar

LUMS, Lahore Pakistan.

Federico Ardila

San Francisco State University / Universidad de Los Andes

Ahmed Ashraf

Habib University

Jai Aslam

North Carolina State University

Christos Athanasiadis

National and Kapodistrian University of Athens

Esme Bajo

UC Berkeley

Esther Banaian

University of Minnesota

Đorđe Baralić

Mathematical Institute SANU

mary barker

Washington University in St. Louis

Jose Bastidas

Cornell University

Amitabh Basu

Johns Hopkins University

Margaret Bayer

University of Kansas

Matthias Beck

San Francisco State & FU Berlin

Mara Belotti

Technische Universität Berlin

Bruno Benedetti

University of Miami

Carolina Benedetti Velásquez

Universidad de los Andes

Aenne Benjes

Goethe University Frankfurt

Olivier Bernardi

Brandeis University

Marcelo Bianchetti

University Of Buenos Aires

Anurag Bishnoi

TU Delft

Alex Black

UC Davis

Valentin Boboc

University of Manchester

Merve Bodur

University of Toronto

Alessio Borzì

University of Warwick

Tom Braden

University of Massachusetts Amherst

Marie Brandenburg

MPI MiS

Benjamin Braun

University of Kentucky

Sarah Brauner

University of Minnesota

Paul Breiding

MPI MiS

Matthias Brugger

TU München

Taylor Brysiewicz

MPI MiS

Théophile Buffière

Université Sorbonne Paris Nord

Amanda Burcroff

Durham University

Federico Castillo

Max Planck Institute for Mathematics in the Sciences

Cesar Ceballos

TU Graz

Marcel Celaya

ETH Zürich

Apostolos Chalkis

National and Kapodistrian University of Athens

Venkat Chandrasekaran

Caltech

Carles Checa Nualart

University of Athens

Giulia Codenotti

Goethe University Frankfurt

Laura Colmenarejo

UMass Amherst

Andrei Comăneci

Technische Universität Berlin

Norbert Cot

Univesity ParisDescartes

Luis Crespo Ruiz

Universidad de Cantabria

Angelica Cueto

The Ohio State University

Mark Curiel

University of Hawaii at Manoa

Alessio D'Alì

Universität Osnabrück

Jesus De Loera

University of California, Davis

Colin Defant

Princeton University

Nadine Defoßa

Goethe-Universität

Bérénice Delcroix-Oger

Université de Paris, IRIF

Vincent Delecroix

CNRS - Université de Bordeaux

Danai Deligeorgaki

KTH

Diego Delle Donne

ESSEC Business School of Paris

Maxim Demenkov

Institute of Control Sciences

Aram Dermenjian

York University

Antoine Deza

McMaster University

Marco Di Summa

Università degli Studi di Padova

Nicholai Dimov

Washington University in St. Louis

Anton Dochtermann

Texas State University

Joseph Doolittle

TU Graz

Galen Dorpalen-Barry

University of Minnesota

Maria Dostert

Royal Institute of Technology (KTH)

Theo Douvropoulos

University of Massachusetts, Amherst

Eliana Duarte

Otto-Von-Guericke Universität Magdeburg

Mathieu Dutour Sikiric

Institut Rudjer Boskovic

Nick Early

Institute for Advanced Study

Boulos El Hilany

Johann Radon Institute for Computational and Applied Mathematics

Sophia Elia

Freie Universität Berlin

Jonas Ellwanger

Goethe-Universität-Frankfurt

Ioannis Emiris

Athena Researh Center, and U. of Athens

Chris Eppolito

Binghamton University

Laura Escobar

Washington University in St. Louis

Christopher Eur

Stanford University

Elisenda Feliu

University of Copenhagen

Antonio Fernández

Universidad de Cantabria

Luis Ferroni

University of Bologna

Alex Fink

Queen Mary University London

Christian Gaetz

MIT

Yibo Gao

MIT

Alexey Garber

The University of Texas Rio Grande Valley & IST Austria

Shoni Gilboa

The Open University of Israel

Kurt Klement Gottwald

TU Chemnitz

Adam Gregory

University of Florida

Emily Gunawan

University of Oklahoma

Christian Haase

freie universität berlin

Tom Hall

University of Nottingham

Derek Hanely

University of Kentucky

Teresa Heiss

IST Austria

Paul Alexander Helminck

Swansea University

Martin Henk

TU Berlin

Oskar Henriksson

University of Copenhagen

Milena Hering

University of Edinburgh

Christoph Hertrich

TU Berlin

Johannes Hofscheier

The University of Nottingham

Mark Hogan

Cardiff University

Sam Hopkins

University of Minnesota

Serkan Hosten

San Francisco State University

Adeli Hutton

Washington University in St. Louis

Oscar Iglesias Valiño

Universidade de Vigo

Jelena Ivanovic

University of Belgrade

Hassan Izanloo

University of Bristol

Thomas Jahn

TU Chemnitz

Aryaman Jal

Royal Institute of Technology (KTH)

Robert Amzi Jeffs

University of Washington

Marija Jelic Milutinovic

University of Belgrade, Faculty of Mathematics

Katharina Jochemko

KTH Royal Institute of Technology

Michael Joswig

TU Berlin & MPI MiS

Martina Juhnke

Universität Osnabrück

Aikaterini Kalampogia-Evangelinou

University of Athens

Lars Kastner

TU Berlin

Christina Katsamaki

Inria Paris / IMJ-PRG

Elizabeth Kelley

University of Minnesota

Sangwook Kim

Chonnam National University

Tamas Kis

Institute for Computer Science and Control (SZTAKI)

Steven Klee

Seattle University

Florian Kohl

Aalto University

Daniel Köhne

Universität Osnabrück

Sampada Kolhatkar

Freie Universität Berlin

Christos Konaxis

National and Kapodistrian University of Athens

George Kontogeorgiou

University of Warwick

Andreas Kretschmer

OvGU Magdeburg

Lukas Kühne

MPI MIS

Olga Kuznetsova

Aalto University

Jean-Philippe Labbé

Électron Libre

Evgeniya Lagoda

FU Berlin

Matt Larson

Stanford University

Alexander Lazar

KTH Royal Institute of Technology

Jonathan Leake

TU Berlin

Kang-Ju Lee

Seoul National University

Gabriel Leuenberger

University of Groningen

Hsin-Chieh Liao

University of Miami

Apostolos Lioumpas

Aristotle University of Thessaloniki

Fu Liu

University of California, Davis

Georg Loho

University of Twente

Benjamin Lorenz

TU Berlin

Dante Luber

Technische Universität Berlin

Antonio Macchia

Freie Universität Berlin

John Machacek

Hampden-Sydney College

Moira MacNeil

University of Toronto

Pritam Majumder

Tata Institute of Fundamental Research

Joseph Malkoun

Notre Dame University-Louaize

Yelena Mandelshtam

UC Berkeley

Sebastian Manecke

Goethe Universität Frankfurt

Alessio Mansutti

University of Oxford

Aida Maraj

MPI MiS

Javier Marenco

University of Buenos Aires

Alex McDonough

Brown University --> UC Davis

Jodi McWhirter

Washington University in St. Louis

Chiara Meroni

MPI MIS Leipzig

Karola Meszaros

Cornell University

Victor Miller

Institute for Defense Analyses

Sebastian Mizera

IAS Princeton

Leonid Monin

University of Bristol

Guido Montufar

UCLA / MPI MiS

Vassilis-Dionyssis Moustakas

National and Kapodistrian University of Athens

Henri Mühle

Technische Universität Dresden

Hanna Mularczyk

Harvard University

Tommi Muller

University Of British Columbia

Philippe Nadeau

CNRS & Institut Camille Jordan

Mehdi Naima

Université Sorbonne Paris Nord

Methu Nath

Bangladesh University of Engineering and Technology

Shaheen Nazir

LUMS, Lahore Pakistan.

Eran Nevo

The Hebrew University

Louis Ng

UC Davis

Lisa Nicklasson

MPI MiS

Benjamin Nill

Otto-von-Guericke-Universität Magdeburg

Alexander Nover

Universität Osnabrück

Isabella Novik

University of Washington

Nida Obatake

Texas A&M University

Timm Oertel

Cardiff University

Jorge Alberto Olarte

TU Berlin

Arnau Padrol

Sorbonne Université

Igor Pak

UCLA

Marta Panizzut

TU Berlin

Greta Panova

University of Southern California

Zuzana Patáková

Charles University

Sasha Pevzner

University of Minnesota

Julian Pfeifle

Universitat Politècnica de Catalunya

Eva Philippe

Ecole Normale Supérieure de Paris

Vincent Pilaud

CNRS & École Polytechnique

Guillermo Pineda Villavicencio

Deakin University

Daria Poliakova

University of Copenhagen

Irem Portakal

OVGU Magdeburg

Germain Poullot

Institut de Mathématiques de Jussieu

Lionel Pournin

Université Sorbonne Paris Nord

Manuel Radons

TU Berlin

Rado Rakotonarivo

Université Sorbonne Paris Nord

Fanja Rakotondrajao

Université d'Antananarivo

Ivan Rasskin

Université de Montpellier

Laith Rastanawi

Freie Universität Berlin

Dimbiniaina RATOVILEBAMBOAVISON

Faculté des Sciences - Université d'Antananarivo

Farrokh Razavinia

University of Porto

Sophie Rehberg

Freie Universität Berlin

Victor Reiner

University of Minnesota - Twin Cities

Matthias Reitzner

Universität Osnabrück

Yue Ren

Swansea University

William Reynolds

University of Edinburgh

Harry Richman

University of Washington

Günter Rote

Freie Universität Berlin

Rowan Rowlands

University of Washington

Laxman Saha

Balurghat College

Manjil Saikia

Cardiff University

Phillippe Samer

Universitetet i Bergen

Jose Alejandro Samper Casas

PUC Chile

Francisco Santos

Universidad de Cantabria

Raman Sanyal

Goethe-Universität Frankfurt

Anna-Laura Sattelberger

MPI MiS Leipzig

Leonardo Saud Maia Leite

KTH

Karin Schaller

Freie Universität Berlin

Daniel Schmidt genannt Waldschmidt

TU Berlin

Benjamin Schröter

Royal Institute of Technology (KTH)

Andreas S. Schulz

TU München

Matthias Schymura

BTU Cottbus-Senftenberg

Aniket Shah

Ohio State University

Isabelle Shankar

UC, Berkeley

Elima Shehu

Polytechnic University of Tirana

Steffania Sierra Galvis

University of Padua

Rainer Sinn

Universität Leipzig

Martin Skutella

TU Berlin

Dorian Smith

University of Minnesota Twin Cities

Athanasios Sofronis

Heriot-Watt University

Liam Solus

KTH Royal Institute of Technology

Miruna-Stefana Sorea

SISSA

Daniel Soskin

Norte Dame University

Sylvain Spitz

TU Berlin

Avery St Dizier

University of Illinois at Urbana-Champaign

Dumitru Stamate

University of Bucharest

Mima Stanojkovski

MPI MiS

Johanna Steinmeyer

Hebrew University of Jerusalem & University of Copenhagen

Eric Nathan Stucky

University of Minnesota–Twin Cities

Bernd Sturmfels

Max Planck Institute for Mathematics in the Sciences

John Sullivan

TU Berlin

Gizem Süngü

Gebze Technical University

Mariel Supina

University of California, Berkeley

Pedro Tamaroff

Trinity College Dublin

Daniel Tamayo Jiménez

Université Paris-Saclay

Gabrielle Tauscheck

University of South Carolina

Andrew Tawfeek

Amherst College

Máté Telek

University of Copenhagen

Rolex Teologia

Xavier University-Ateneo de Cagayan

Vasu Tewari

University of Hawaii

Warut Thawinrak

University of California, Davis

Eliana Tolosa Villarreal

San Francisco State University

Elias Tsigaridas

Inria Paris

Akiyoshi Tsuchiya

University of Tokyo

Eleni Tzanaki

University of Crete, Greece

Yannic VARGAS

Instituto Venezolano de Investigaciones Científicas

Lorenzo Venturello

Royal Institute of Technology (KTH)

Ralihe R. Villagran

CINVESTAV

Diego Villamizar

Tulane University

Andrés Vindas Meléndez

University of Kentucky

Cynthia Vinzant

North Carolina State University

Matias von Bell

University of Kentucky

Matthias Walter

University of Twente

Amy Wiebe

Freie Universität Berlin

Kaelyn Willingham

Ohio State University

Martin Winter

TU Chemnitz

Rupei Xu

The University of Texas at Dallas

Martha Yip

University of Kentucky

David Yost

Federation University

Josephine Yu

Georgia Tech

Chi Ho Yuen

Brown University

Oguzhan Yürük

TU Berlin

Zafeirakis Zafeirakopoulos

Gebze Technical University

Allan Zea

TU Berlin

Becky Zhang

Washington University in St.Louis

Hailun Zheng

University of Copenhagen

Günter M. Ziegler

Freie Universität Berlin

Charilaos Zisopoulos

Saarland University

Rade Živaljević

Serbian Academy of Sciences and Arts

Scientific Organizers

Federico Castillo

Max Planck Institute for Mathematics in the Sciences

Giulia Codenotti

Goethe University Frankfurt

Benjamin Schröter

Royal Institute of Technology (KTH)

Administrative Contact

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail