Postponed: Geometric Structures seminar - Paul Breiding

[Miruna - Stefana Sorea]

Dear All,

This talk had to be postponed to June 2nd, 2022.
More details will follow. Thank you for your understanding.

Best wishes,
Miruna-Stefana Sorea

________________________________
From: math-users-bounces at lists.sissa.it <math-users-bounces at lists.sissa.it> on behalf of Miruna - Stefana Sorea <msorea at sissa.it>
Sent: 11 April 2022 15:04
To: math-users at lists.sissa.it <math-users at lists.sissa.it>; dmi-seminari at list.units.it <dmi-seminari at list.units.it>; science-ts at lists.ictp.it <science-ts at lists.ictp.it>
Cc: Paul.Breiding at mis.mpg.de <paul.breiding at mis.mpg.de>
Subject: [math-users] Geometric Structures seminar - Paul Breiding - April 14, 2022 - 2:00 pm (Rome Time)

Dear All,

This is to announce the next seminar from the series "Geometric Structures".

Speaker:    Paul Breiding<https://pbrdng.github.io/index.html> (Max Planck Institute for Mathematics in the Sciences, Leipzig)

Title:           Facet Volumes of Polytopes

Time:          April 14, 2022, 2:00 pm (Rome Time)



Venue - hybrid:

  *   at room 137 at SISSA*  (*lecture room 134 replaced by 137 this week (11-15 April 2022))
  *
  *   from remote, on zoom at this link

https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
Passcode: geometry

----

Abstract:
We consider what we call facet volume vectors of polytopes. Every full-dimensional polytope in R^d with n facets defines n positive real numbers: the n (d-1)-dimensional volumes of its facets. For instance, every triangle defines three lenghts; every tetrahedron defines four areas.
We study the space of all such vectors. We show that for fixed integers d\geq 2 and n\geq d+1 the configuration space of all facet volume vectors of all d-polytopes in R^d with n facets is a full dimensional cone in R^n, and we describe this cone in terms of inequalities. For tetrahedra this is a cone over a regular octahedron.
Joint work with Pavle Blagojevic and Alexander Heaton.
----

More information can be found here: https://sites.google.com/view/geometric-structures/

Everyone is welcome!


--
Miruna-Stefana Sorea
Postdoctoral Researcher
Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy
https://sites.google.com/view/mirunastefanasorea/