Events
Department of Mathematics and Statistics
Texas Tech University
Shrinking gradient Kähler-Ricci solitons are a generalization of Kähler-Einstein metrics of positive scalar curvature. These arise naturally in the study of the Kähler-Ricci flow, for which they are known to model finite-time Type I singularities by work of Naber and Enders-Müller-Topping. I will present some recent work on the classification of shrinking gradient Kähler-Ricci solitons on complex surfaces. In particular, we classify all non-compact examples with bounded scalar curvature. Together with a recent result of Li-Wang, this completes the classification in the non-compact case. Combining further with previous work of Tian, Wang, Zhu, and others in the compact case gives the complete classification. This is joint work with R. Bamler, R. Conlon, and A. Deruelle.
Watch online on the 7th at 3 PM (UT-6) via this Zoom link.
 | Thursday Feb. 8 6:30 PM MA 108
| | Mathematics Education Math Circle Aaron Tyrrell Mathematics and Statistics, Texas Tech University
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Math Circle spring poster