Aryaman Jal, KTH, Stockholm

Description

Speaker: Aryaman Jal.

Affiliation:  KTH, Stockholm.

Time: 5-6pm, Thursday, 6 July.

Venue:  Room 216, Mathematics Department.

Host : Madhusudan Manjunath

Title: Polyhedral geometry of bisectors and bisection fans.


Abstract: Every symmetric convex body induces a norm on its affine hull.
The object of our study is the bisector of two points with respect to this
norm. A topological description of bisectors is known in the 2 and
3-dimensional cases and recent work of Criado, Joswig and Santos (2021)
expanded this to a deeper study of the geometric, combinatorial and
topological properties of the bisector. A key object introduced was the
bisection fan of a polytope which they were able to explicitly describe in
the case of the tropical norm. We discuss the bisector as a polyhedral
complex, introduce the notion of bisection cones and describe the
bisection fan corresponding to other polyhedral norms. This is joint work
with Katharina Jochemko.

Description
Room No. 216, Department of Mathematics
Date
Thu, July 6, 2023
Start Time
5:00pm-6:00pm IST
Duration
1 hour
Priority
5-Medium
Access
Public
Created by
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Updated
Mon, July 3, 2023 11:40pm IST