Wednesday January 31, 2018 11:30 AM 5127
 Marlon de Oliveira Gomes, Stony Brook University
Organizational MeetingWe will have a short organizational meeting to set the course for the seminar which will ultimately be aimed at studying stability conditions and wallcrossing phenomena.

Wednesday February 07, 2018 11:30 AM 5127
 Frederik Benirschke, Stony Brook University
Introduction to GITIn this talk, we will give some indication of where quotients arise and are important in geometry and then introduce Geometric Invariant Theory as an algebrogeometric approach to producing them, together with some examples.

Wednesday February 14, 2018 11:30 AM 5127
 Marlon de Oliveira Gomes, Stony Brook University
Projective GIT quotientsIn this talk, we will continue with our introduction to GIT by looking this time at projective quotients. We will try to give some indication of the relative delicacy of this case compared to the optimal situation we saw with affine quotients.

Wednesday February 21, 2018 11:30 AM 5127
 Yoonjoo Kim, Stony Brook University
The HilbertMumford Criterion for StabilityIn this talk we will focus our attention on the notion of stability previously introduced for these actions by reductive groups. We will state a theorem, due in part to Hilbert and Mumford respectively, which detects the (semi)stable points of an action using an eigenanalysis of the 1parameter subgroups, complete with examples.

