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Events for the weeks of August 17th – 29th

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Mon (Aug 25)	Tue (Aug 26)	Wed (Aug 27)	Thu (Aug 28)	Fri (Aug 29)
	Lie Theory 2:30pm @ MATH 350 Katrina Barron (Notre Dame University) X Through the framework of Conformal Field Theory (i.e. string theory), linear algebra and Lie theory meet up with number theory in fundamental ways. In particular, the graded traces and pseudo-traces of families of linear operators corresponding to the fields (vertex operators) of interacting particles exhibit certain invariance properties with respect to action of the modular group SL(2,Z). We discuss aspects of modular symmetries that appear in graded trace and pseudo-trace functions for various classes of algebras of fields (vertex algebras) and their modules, including for the new notion of strongly interlocked module introduced by Barron, Batistelli, Orosz Hunziker, and Yamskulna. Several examples will be discussed. Graded (pseudo-)traces and number theory in Lie theory and physics. Sponsored by the Meyer Fund Topology 3:30pm @ MATH 350 Mayuko Yamashita (Perimeter Institute for Theoretical Physics) X In this talk, I will explain the recent development in the Segal-Stolz-Teichner (SST) paradigm. The SST paradigm is a set of ideas connecting stable homotopy theory, especially the theory of elliptic cohomology theory, with supersymmetric quantum field theories in physics. Thanks to the recent mathematical development of equivariant elliptic cohomology thoery, we are currently experiencing a great enrichment the SST paradigm. In the talk, I will illustrate this by explaining my work with Y.Lin on Topological Elliptic Genera. Equivariant elliptic cohomology and supersymmetric quantum field theories Sponsored by the Meyer Fund Math Phys 3:30pm @ Math350 Mayuko Yamashita (Perimeter Institute for Theoretical Physics) X In this talk, I will explain the recent development in the Segal-Stolz-Teichner (SST) paradigm. The SST paradigm is a set of ideas connecting stable homotopy theory, especially the theory of elliptic cohomology theory, with supersymmetric quantum field theories in physics. Thanks to the recent mathematical development of equivariant elliptic cohomology thoery, we are currently experiencing a great enrichment the SST paradigm. In the talk, I will illustrate this by explaining my work with Y.Lin on Topological Elliptic Genera. Equivariant elliptic cohomology and supersymmetric quantum field theories Sponsored by the Meyer Fund	PDE/Analysis 4:30pm @ MATH 220 Neel Patel (University of Maine) TBA Sponsored by the Meyer Fund		Math Edu 10:10am @ MATH 350 Rebekah Jones X We will discuss potential topics and speakers for the Seminar on Undergraduate Math Education (SUME) this semester. All those interested in attending SUME are welcome. SUME Open House

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