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SUMMARY:Priyavrat Deshpande (Chennai Mathematical Institute)
DTSTART:20200715T053000Z
DTEND:20200715T063000Z
DTSTAMP:20260423T021436Z
UID:CATGT/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CATGT/1/">Th
 e Combinatorics of Counting Faces of a Hyperplane Arrangement</a>\nby Priy
 avrat Deshpande (Chennai Mathematical Institute) as part of Applications o
 f Combinatorics in Algebra\, Topology and Graph Theory\n\n\nAbstract\nAn a
 rrangement of hyperplanes is a finite collection of hyperplanes in a vecto
 r space. In the case of a Euclidean space the arrangement describes a stra
 tification where each stratum\, also called a face\, is a convex subset. I
 t is a classical problem to determine the number of various-dimensional fa
 ces in terms of the combinatorics of intersection of hyperlpanes. In this 
 talk I will focus on a class of arrangements called rational arrangements 
 and explain the finite field method which helps count the codimension-$0$ 
 strata. With the help of many examples I will demonstrate how various comb
 inatorial techniques play an important role in this counting problem. This
  talk is self-contained and mainly a survey of interesting results in the 
 field.\n
LOCATION:https://researchseminars.org/talk/CATGT/1/
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