Table of Contents

10th polymake conference and developer meeting

January 25th, 2019

polymake conference

On Friday there will be one invited talk and several tutorial, demo and helpdesk sessions for polymake users.

Participants are encouraged to bring their own laptop and use them in the tutorials, preferably with an installed version of polymake. If you have any polymake problem you want to get help during the workshop please describe your problem during the sign up process.

The conference takes place in the math building of TU Berlin:
Rooms MA415 and MA621
Str. des 17. Juni 136,
10623 Berlin
see also: http://www.math.tu-berlin.de/

Certificates of participation will be available upon request.

Registration:

Please fill out the registration form!

Schedule:

Friday
09:00-09:30 Registration (MA 415)
09:30-10:30 Talk: Polytopes in Representation Theory (MA 415)
Ghislain Fourier
10:30-11:00 Coffee and Helpdesk (MA 415)
11:00-12:00 Tut: Polymake Basics (MA 415) Julia and Polymake.jl (MA 621)
Ayush-kumar Tewari (Marta Panizzut) Sascha Timme
12:00-14:00 Lunch
14:00-15:00 Tut: polymake extensions (MA 415) Demo: Callable library (MA 621)
Holger Eble Lars Kastner
15:00-15:30 Coffee and Helpdesk (MA 415)
15:30-16:30 Talk: Combinatorial topology in polymake (MA 415)
Michael Joswig
16:30-18:00 Helpdesk (MA 621)
~19:00 Dinner (self paid, at Café Hardenberg)

Abstracts

Talk: Polytopes in Representation Theory

Stanley associated to each poset two lattice polytopes, the order and the chain polytope, sharing some nice properties, but in general these two polytope are non-isomorphic. This setup has been generalized to marked poset (and beyond). We introduced a n-parameter family, deforming one polytope into the other. Along the way one obtains a family of 2^n Ehrhart-equivalent lattice polytopes. There is a conjecture by Hibi and Li, that the f-vectors increases component wise when deforming the order polytope into the chain polytope. I'll discuss the state of art of the conjecture.

All along the way, I'll show how my point of view about poset polytopes, is coming from problems in Representation theory of Lie algebras and questions about the geometry of Grassmannians and flag varieties. I'll explain this approach, motivate and justify why I care about these polytopes, about polymake and possible further developments.

Tut: polymake Basics

Beginners introduction to polymake.

Tut: polymake extensions

polymake extensions are the way for users to add functionality to polymake. After creating an extension, polymake will load its code at every startup and one can use it just like regular polymake functions. This tutorial will demonstrate how to create an extension, as well as how to populate it.

Demo: Callable library

Introduction to using polymakes callable library. The callable library allows using polymake objects and methods in any C++ program.

Julia and Polymake.jl

Polymake.jl is a new interface to polymake using the Julia language. We give a brief introduction to Julia and show the current capabilities of Polymake.jl.

Talk: Combinatorial topology in polymake

We give a survey of the polymake application topaz which comprises functionality for studying abstract simplicial complexes. For instance, recognizing manifolds as well as interesting random constructions will be discussed.

Dinner

The dinner is at Café Hardenberg.

Developer Meeting

The developer meeting takes place on January 24th and 26th.

On Thursday we will have general discussions on important topics and tickets, and assign tickets/tasks to small teams for the coding session on Saturday.

On Thursday we will go for lunch around 12:30. Everybody who is already there is welcome to join.

Official start is at 15:00 in MA 621.

On Saturday we will meet at 10:00.

Please add your topics here:

Please feel free to add more topics!