Seminar Event Detail

Algebraic Geometry

Date:  Tuesday, October 25, 2016
Location:  1096 East Hall (3:10 PM to 4:00 PM)

Title:  On surfaces of general type

Abstract:   I will start surveying recent results on Chern slope geography (joint with X. Roulleau in char=0, with R. Codorniu in char>0), then pass to some results (joint with J. Rana, J. Tevelev; and joint with S. Coughlan) on p_g=0 surfaces, and open questions in relation to their moduli space. The Lee-Park connection between moduli spaces and geography will bring into the picture the explicit MMP of Q-Gorenstein degenerations (joint with P. Hacking and J. Tevelev), and the possible Wahl singularities of singular surfaces in the KSBA boundary (joint with A. Stern), in particular I will discuss on sharp bounds on the indices of these singularities for a fixed K^2 (joint with J. Rana). I will explain results, optimal examples, and open problems on that.


Speaker:  Giancarlo Urzua
Institution:  Pontificia Universidad Catolica de Chile

Event Organizer:     


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