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Events happening on October 23, 2018

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Oct. 23, 2018 1pm (MATH 350)	Ulam D. Kaledin X I will give a short overview of the technique of "formal geometry", with its applications to deformation quantization of algebraic varieties and to characteristic classes. Then I will show how the moduli space of quantizations can be described in terms of certain characteristic classes of symplectic algebraic varieties introduced by Rozansky and Witten (joint work in progress with V. Baranovsky). Formal geometry, Fedosov quantization and Rozansky-Witten classes
Oct. 23, 2018 1pm (MATH 220)	Grad Algebra/Logic Steven Weinell (CU) X In 2001, Andrei Bulatov generalized the binary commutator operation on a general algebra to an n-ary commutator operation. In a simple algebra higher commutators may only be the congruence 0 or 1. I have shown that for any natural number, n>1, we can construct an algebra with the n-ary commutator [1, ..., 1] = 1 while the (n+1)-ary commutator [1, ..., 1, 1] = 0. In this talk I will present the construction in the case where n=2. Controlling Higher Commutators in a Simple Algebra
Oct. 23, 2018 2pm (MATH 220)	Mark Pullins (CU) X I will talk about a recent construction of Rips, Segev and Tent, which solves a longstanding problem. A sharply 2-transitive group without a nontrivial abelian normal subgroup.
Oct. 23, 2018 3pm (MATH 350)	Algebraic Geometry Xiaolei Zhao (UC Santa Barbara) X It is a classical result of Beauville and Donagi that Fano varieties of lines on cubic fourfolds are hyper-Kahler. More recently, Lehn, Lehn, Sorger and van Straten constructed a hyper-Kahler eightfold out of twisted cubics on cubic fourfolds. In this talk, I will explain a new approach to these hyper-Kahler varieties via moduli of stable objects on the Kuznetsov components, and further generalizations. An application towards the study of 0-cycles on these hyper-Kahler varieties will also be discussed. This is based on a joint work with Chunyi Li and Laura Pertusi. Twisted cubics on cubic fourfolds and stability conditions Sponsored by the Meyer Fund
Oct. 23, 2018 4pm (MATH 350)	Topology Markus Pflaum Characteristic Classes

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