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Events for August – December

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Tue, Aug. 26 2:30pm (MATH 3…	Lie Theory 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
Tue, Aug. 26 3:30pm (MATH 3…	Topology 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
Tue, Aug. 26 3:30pm (Math350)	Math Phys 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
Wed, Aug. 27 4:30pm (MATH 2…	PDE/Analysis Neel Patel (University of Maine) X The Muskat problem describes the dynamics of an interface between two fluids in porous media driven by gravity. For a graphical interface with a denser fluid below a lighter fluid, the interface is in a stable regime. On the other hand, a closed curve interface, or bubble, is always in the unstable regime. This instability can be seen in the linearized equation. In this talk, we will discuss how to formulate the bubble problem to deal with this instability. Stability of Bubbles in Porous Media Sponsored by the Meyer Fund
Fri, Aug. 29 10:10am (MATH …	Math Edu 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
Wed, Sep. 3 4:40pm (MATH 3…	Grad Student Seminar Khazali (CU Boulder) X TBD An Algebra of Graphs and the Longest Path Problem
Tue, Sep. 9 1:25pm (MATH 2…	Algebra/Logic Nik Ruskuc (St Andrews) X Let S be a semigroup, and suppose that the full relation SxS is finitely generated as a right congruence. When S is a group this happens if and only if S is finitely generated, but in general there are many more examples, of arbitrarily large cardinalities. Let X be a finite generating set for SxS. Then, for any two elements s,t in S, there is a finite chain of X-transformations connecting s and t. The longest such chain is the X-diameter of S, and the smallest X-diameter when X ranges over all finite generating sets is the (right congruence) diameter of S, denoted D(S). This parameter can be finite or infinite. It turns out that it is finite for many classical semigroups of transformations, linear transformations and partitions, and is then very small, i.e. . Usually some intriguing combinatorics is involved in these results, but the underlying reasons for this phenomenon remain mysterious. The new results presented in this talk are due to various subsets of J. East, V. Gould, C. Miller, T. Quinn-Gregson and myself. (Congruence) diameter of semigroups Sponsored by the Meyer Fund
Fri, Sep. 12 10:10am	Math Edu Peter Karanevich (CU Boulder School of Education) X In this hands-on workshop we will do a mathematics activity leveraging the 5 practices for orchestrating productive mathematical discussions to debrief it. We will then examine each practice and have time for reflection about how you can incorporate these ideas in your classroom. 5 practices of Orchestrating Productive Mathematics Discussions
Tue, Sep. 16 1:25pm (online)	Algebra/Logic Leandro Vendramin (Vrije Universiteit Brussel, Belgium) View Online:https://cuboulder.zoom.us/j/96896272260 X This talk explores the interplay between set-theoretic solutions to the Yang-Baxter equation and structures arising in algebraic logic. Central to this connection is the recently introduced theory of L-algebras, which generalizes well-known logical systems such as Hilbert and Heyting algebras. The presentation assumes minimal background. We will discuss illustrative examples, highlight open problems, and share several conjectures. L-Algebras: A bridge between algebraic logic and the Yang-Baxter equation
Wed, Nov. 12 4:40pm (MATH 3…	Grad Student Seminar Basia Klos (CU Boulder) X TBD What even is a VOA?

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