(Polytop)ics: Recent advances on polytopes


Each day there are two contributed talk sessions taking place parallel. You will receive further information on how to attend those during the conference.

Tuesday, April 06, 2021
09:00 - 10:00Bullet Intro
10:00 - 10:30Coffee Break
10:30 - 11:30Michael Joswig (TU Berlin & MPI MiS)
Geometric disentanglement by random convex polytopes
11:30 - 12:00Coffee Break
12:00 - 13:00Francisco Santos (Universidad de Cantabria)
Empty simplices of large width
16:00 - 17:00Nick Early (Institute for Advanced Study)
Generalized scattering amplitudes, matroidal blade arrangements and the positive tropical Grassmannian
17:00 - 17:30Coffee Break
17:30 - 18:30Contributed Talks Session 1
Christoph Hertrich (TU Berlin)
Tackling neural network expressivity via polytopes
Jose Bastidas (Cornell University)
Generators for type B permutahedra via McMullen's polytope algebra
17:30 - 18:30Contributed Talks Session 2
Sophie Rehberg (Freie Universität Berlin)
Combinatorial reciprocity theorems for generalized permutahedra, hypergraphs, and pruned inside-out polytopes
Jonathan Leake (TU Berlin)
Flow polytope volume bounds via polynomial capacity
18:30 - 19:00Coffee Break
19:00 - 20:00Bullet Intro
Wednesday, April 07, 2021
09:00 - 10:00Katharina Jochemko (KTH Royal Institute of Technology)
Generalized permutahedra: Minkowski linear functionals and Ehrhart positivity
10:00 - 10:30Coffee Break
10:30 - 11:30Matthias Beck (San Francisco State & FU Berlin)
Rational Ehrhart Theory
11:30 - 12:00Coffee Break
12:00 - 13:00Contributed Talks Session 1
Doriann Albertin (Université Gustave Eiffel)
Type cones of permutree fans
Luis Ferroni (University of Bologna)
The Erhart polynomials of matroids and hypersimplices
12:00 - 13:00Contributed Talks Session 2
Martin Winter (TU Chemnitz)
Capturing polytopal symmetries in the edge-graph
Theo Douvropoulos (University of Massachusetts, Amherst)
Volumes of root zonotopes via the W-Laplacian
16:00 - 17:00Open Problems
17:00 - 17:30Coffee Break
17:30 - 18:30Laura Escobar (Washington University in St. Louis)
Determining the complexity of Kazhdan-Lusztig varieties
18:30 - 19:00Coffee Break
19:00 - 20:00Igor Pak (UCLA)
Domes over curves
Thursday, April 08, 2021
09:00 - 10:00Günter M. Ziegler (Freie Universität Berlin)
Problems and methods, examples and counterexamples
10:00 - 10:30Coffee Break
10:30 - 11:30Raman Sanyal (Goethe-Universität Frankfurt)
Normally inscribable polytopes
11:30 - 12:00Coffee Break
12:00 - 13:00Open Problems
16:00 - 17:00Karola Meszaros (Cornell University)
Schubert polynomials from a polytopal point of view
17:00 - 17:30Coffee Break
17:30 - 18:30Contributed Talks Session 1
Rida Ait El Manssour (MPI MiS)
Stable set polytopes in differential algebra
Aniket Shah (Ohio State University)
A q-analogue of Brion's identity from quantum K-theory
17:30 - 18:30Contributed Talks Session 2
Alex Black (UC Davis)
Monotone paths on cross-polytopes
Mariel Supina (University of California, Berkeley)
The universal valuation of Coxeter matroids
18:30 - 19:00Coffee Break
19:00 - 20:00Fu Liu (University of California, Davis)
Permuto-associahedra as deformations of nested permutohedra
Friday, April 09, 2021
09:00 - 10:00Arnau Padrol (Sorbonne Université)
Shard polytopes
10:00 - 10:30Coffee Break
10:30 - 11:30Contributed Talks Session 1
Akiyoshi Tsuchiya (University of Tokyo)
Castelnuovo polytopes
Marta Panizzut (TU Berlin)
Algebraic degrees of 3-dimensional polytopes
10:30 - 11:30Contributed Talks Session 2
Eva Philippe (Ecole Normale Supérieure de Paris)
Sweeps of a point configuration
Sophia Elia (Freie Universität Berlin)
Congruence normality for simplicial hyperplane arrangements
11:30 - 12:00Coffee Break
12:00 - 13:00Christos Athanasiadis (National and Kapodistrian University of Athens)
Face numbers of barycentric subdivisions of cubical polytopes
16:00 - 17:00Martina Juhnke (Universität Osnabrück)
On the bond polytope
17:00 - 17:30Coffee Break
17:30 - 18:30Victor Reiner (University of Minnesota - Twin Cities)
Universal parameters for Stanley-Reisner rings and a colorful Hochster formula
18:30 - 19:00Coffee Break
19:00 - 20:00Federico Ardila (San Francisco State University / Universidad de Los Andes)
A tale of two polytopes: The bipermutohedron and the harmonic polytope

Date and Location

April 06 - 09, 2021
Max Planck Institute for Mathematics in the Sciences
Virtual event - Videobroadcast

Scientific Organizers

Federico Castillo
MPI for Mathematics in the Sciences

Giulia Codenotti
Goethe University Frankfurt

Benjamin Schröter
Royal Institute of Technology (KTH)

Administrative Contact

Saskia Gutzschebauch
MPI for Mathematics in the Sciences
Contact by Email
18.05.2021, 08:39