Seminar series
Date
Wed, 07 Mar 2018
Time
10:00 -
12:00
Location
L5
Speaker
Prof. Matt Szczesny
Organisation
Boston University
Hall algebras of categories of quiver representations and coherent sheaves
on smooth projective curves over F_q recover interesting
representation-theoretic objects such as quantum groups and their
generalizations. I will define and describe the structure of the Hall
algebra of coherent sheaves on a projective variety over F_1, with P^2 as
the main example. Examples suggest that it should be viewed as a degenerate
q->1 limit of its counterpart over F_q.