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Events happening on December 9, 2014

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Dec. 09, 2014 9am (MATH 350)	PDE/Analysis Boris Khesin (University of Toronto) KAM theory and the 3D Euler equation Sponsored by the Meyer Fund
Dec. 09, 2014 11am (Math 220)	Noncomm Geometry Alex Nita Fredholm Modules (continued)
Dec. 09, 2014 2pm (Math 350)	Lie Theory Elizabeth Gillaspy X This talk will be a merged seminar of the "Analysis and Groupoids" seminar and the "Algebraic Lie Theory" seminar. After a quick overview of the "deformations of Lie algebras" picture of quantum groups, I will introduce a few of the operator algebraic approaches of quantum groups. The idea of twisting a quantum group by a 2-cocycle has also received a fair amount of attention; I will explain this construction and discuss how it connects to the twisted groupoid C-algebras I have studied. Quantum Groups as C-algebras and Lie algebras Sponsored by the Meyer Fund
Dec. 09, 2014 2pm (Math 350)	Functional Analysis Elizabeth Gillaspy (University of Colorado - Boulder) X This talk will be a merged seminar of the "Analysis and Groupoids" seminar and the "Algebraic Lie Theory" seminar. After a quick overview of the "deformations of Lie algebras" picture of quantum groups, I will introduce a few of the operator algebraic approaches of quantum groups. The idea of twisting a quantum group by a 2-cocycle has also received a fair amount of attention; I will explain this construction and discuss how it connects to the twisted groupoid C-algebras I have studied. [joint with Algebraic Lie Theory] Quantum Groups as C-algebras and Lie algebras Sponsored by the Meyer Fund
Dec. 09, 2014 3pm (MATH 350)	Kempner Boris Khesin (University of Toronto) X A plane curve is called nondegenerate if it has no inflection points. How many classes of closed nondegenerate curves exist on a sphere? We are going to see how this geometric problem, solved in 1970, reappeared along with its generalizations in the context of the Korteweg-de Vries and Boussinesq equations. Its discrete version is related to the 2D pentagram map defined by R.Schwartz in 1992. We will also describe its generalizations, pentagram maps on polygons in any dimension and discuss their integrability properties. This is a joint work with Fedor Soloviev. Pentagram maps and nondegenerate curves Sponsored by the Meyer Fund

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