August 30
Speaker: Yuanqi Wang
Title : Examples of Semi-stable sheaves on projective varieties.
Abstract:
Oct. 11
Speaker: Shizhang Li
Title : Rigid varieites with projective reduction.
Abstract: Bosch, Lutkebohmert and Raynaud laid down the foundations relating formal and rigid geometry. The type of questions they treat are mostly concerned with going from the rigid side to formal side. In the past, I considered the opposite type of question, namely to what extent properties on the formal side inform us about rigid geometry. More precisely, we will see what geometric consequences one can deduce under the assumption that the rigid space has a projective reduction.
In this talk, I shall first say some background of rigid geometry and Ray- naud’s theory of formal models along with some examples. Then I will state the main theorem and a corollary. If time permitted, I will say something about the proof..
Oct 18
Speaker: Yunfeng Jiang
Title : MacPherson index theorem and Donaldson-Thomas invariants.
Abstract: .
Oct 25
Speaker: Promit Kundu
Title : Bogomolov inequality for projective surfaces.
Abstract: .
Nov 1
Speaker: Yunfeng Jiang
Title : Vafa-Witten invariants for surface Deligne-Mumford stacks I.
Abstract: .
Nov 8
Speaker: Promit Kundu
Title : Vafa-Witten invariants for surface Deligne-Mumford stacks II: Calculations.
Abstract: .
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