Mathematics Seminar at ICTP - Thursday, 13 October 2016, at 17:00

[Math Group]

M A T H E M A T I C S   S E M I N A R S   2016


Thursday, 13 October, at 17:00 hrs.

George Dimitrov (ICTP)

Title: Bridgeland stability conditions and exceptional collections


Abstract: Bridgeland assigned  to any triangulated category a complex 
manifold, whose elements are referred to as stability conditions. 
Homological mirror symmetry and string theory predict a parallel between 
Teichmüller theory and categories whereby the stability space plays the 
role of the Teichmüller space. However it is hard to extract global 
information for these spaces.
Beilinson observed patterns in the structure of some triangulated 
categories called later exceptional collections. The interplay between 
the two notions in the title unveils novelties for both. An explicit 
determining of the entire stability spaces on wild Kronecker quivers in 
our latest joint work with L. Katzarkov is a subsequent result arising 
from this interplay. In this talk I will try to put the new result in a 
context, supporting what Bridgeland wrote: the whole idea of extracting 
geometry from homological algebra is, to me at least, a very attractive one.

http://indico.ictp.it/event/8043/

Venue:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building, room 106
Strada Costiera no. 11
34151 Trieste, Italy

Tel. no.: +39-040-2240455
math at ictp.it
http://math.ictp.it