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Events for the weeks of March 22nd – April 3rd

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Mon, Mar. 23 7pm (Remote (Z…	Functional Analysis Alonso Delfín (CU Boulder) View Online:https://cuboulder.zoom.us/j/97482826489 X Part I: Introduction, main definitions, and Banach-Lamperti's theorem. Mini-course L^p-operator algebras: Part I
Tue, Mar. 24 2:30pm (MATH 3…	Lie Theory Juan Villareal X In this talk, I will present several scattering amplitude formulas arising in quantum field theory and explain how they give rise to new infinite-dimensional algebraic structures and associated symmetries. This work is based on ongoing collaboration with undergraduate students from the REU 2025. Lie algebras and celestial holography
Tue, Mar. 24 7pm (Remote (Z…	Functional Analysis Alonso Delfín (CU Boulder) View Online:https://cuboulder.zoom.us/j/97482826489 X Part II: Group(oid) algebras, crossed-products, and rigidity. Mini-course L^p-operator algebras: Part II
Thu, Mar. 26 2:30pm (MATH 3…	Functional Analysis Karen Strung (Institute of Mathematics of the Czech Academy of Sciences) X A common strategy for understanding the structure of a C-algebra is to decompose it into more manageable subcomponents—such as its lattice of ideals or subspaces arising from a grading—with the aim of reconstructing global information from local data and the way these pieces interact. Conversely, one can begin with structured pieces and ask how to assemble them into a C-algebra. A well-studied example of this approach is the theory of Fell bundles over discrete groups. In this talk, we present a generalization of Fell bundles from discrete groups to unital based rings, a broader algebraic framework that accommodates richer types of gradings. We describe how to construct a reduced C*-algebra of sections associated to such a bundle and discuss examples arising from group gradings and coactions of compact quantum groups. This is joint work in progress with Suvrajit Bhattacharjee, Bhishan Jacelon, and Réamonn Ó Buachalla. Fell bundles over unital based rings Sponsored by the National Science Foundation
Thu, Mar. 26 3:35pm (MATH 3…	Probability Andrew Campbell (ISTA) X A result dating back at least 40 years is that the roots of Hermite polynomials are asymptotically distributed according to the semicircle distribution, which is also serves the role of the normal distribution in Voiculescu's free probability theory. Hermite polynomials are also crucial to understanding the eigenvalues of the Gaussian Unitary Ensemble, a particularly important distribution of random matrices for which an infinite version is simple to define. We will discuss a class of polynomials which provide analogous approximations for other stable distributions in free probability and other infinite ensembles of random matrices. We will look at the asymptotic properties of the roots of these polynomials and how they arise naturally in the study of zeros of analytic functions. As a special case we will look at the corresponding polynomial for the Riemann zeta function. This talk is based mostly on joint work with Jonas Jalowy. Polynomial approximations of free stable laws, infinite random matrices, and the Riemann zeta function.
Fri, Mar. 27 12:20pm (Math …	Math Edu Nick Schneider (Astrophysical & Planetary Sciences, CU Boulder) X We report the findings of a study on career and advanced degrees outcomes for undergraduate majors in Astrophysical and Planetary Sciences. The APS major was created in 2021, with two primary intentions: (1) preparing students for graduate schools and careers in research, and (2) preparing students for careers in teaching, informal education, policy and journalism. Over 25 years of growth, we have graduated nearly 900 students but have little information on their paths after graduation. Our 2-year study located ~75% of our graduates on LinkedIn, and tabulated their self-reported career and higher education information. While 10-15% of our students followed the research path, we find the vast majority entered the STEM workforce, with a significant fraction in aerospace and/or engineering. Few entered the teaching path, though statistics may be incomplete. These results are leading to significant changes in departmental mentoring, advising and professional development, to facilitate student awareness and preparation for the most commonly followed paths. We encourage other departments to undertake similar studies, and will describe methodologies and insights to support these efforts. Career Outcomes for Majors in Astrophysical and Planetary Sciences
Mon, Mar. 30 3pm (Kitt Cent…	DeLong Guoliang Yu (Texas AM University) View Online:https://cuboulder.zoom.us/j/97834671785 X Mathematicians use groups to capture the idea of symmetry, and manifolds to describe the shapes of spaces—from the surface of the Earth to models of the universe. In this talk, I will show how drawing and visualizing groups can reveal surprising information about the shape of a space. Through pictures, examples, and geometric intuition, we will see how symmetry can constrain and sometimes completely determine the global structure of a manifold. The talk is designed to be accessible to students and non-experts. Geometry of groups and topological rigidity of manifolds Sponsored by the Meyer Fund
Mon, Mar. 30 7pm (Remote (Z…	Functional Analysis Alonso Delfín (CU Boulder) View Online:https://cuboulder.zoom.us/j/97482826489 X Part III: Multiplier algebras Mini-course L^p-operator algebras: Part III
Tue, Mar. 31 1:25pm (online)	Algebra/Logic Alex Nowak (Howard University) View Online:https://cuboulder.zoom.us/j/96896272260 X Drinfeld formulated the set-theoretic Yang Baxter equation (YBE) in an attempt to simplify the classification problem for solutions of the quantum YBE from physics. In the intervening 35 years, investigations of the set-theoretic YBE have called upon a wide array of algebraic structures: groups, quasigroups, racks, quandles, cycle sets, and (skew)-braces, just to name a few. In this talk, we will discuss how Bruck loops and Moufang loops are central to understanding a class of solutions that exhibit a ``dihedral" symmetry. This is joint work with Anna Zamojska-Dzienio. Dihedral solutions of the set theoretic Yang-Baxter equation
Tue, Mar. 31 7pm (MATH 350)	Functional Analysis Alonso Delfín (CU Boulder) View Online:https://cuboulder.zoom.us/j/97482826489 X Part IV: Catch up and L^p-Spectral Triples. Mini-course L^p-operator algebras: Part IV
Wed, Apr. 1 3pm (Kitt Cent…	DeLong Guoliang Yu (Texas A&M University) View Online:https://cuboulder.zoom.us/j/97834671785 X Scalar curvature plays a fundamental role in geometry and in general relativity. Motivated by this connection, Misha Gromov proposed a striking rigidity conjecture: for a convex polyhedron, one cannot simultaneously increase the scalar curvature of a Riemannian metric and the mean curvature of its faces while decreasing the dihedral angles. This rigidity principle has deep consequences, including implications for the positive mass theorem in general relativity. In this talk, I will introduce Gromov’s conjecture and explain the ideas behind its proof using Dirac operators. This is joint work with Jinmin Wang and Zhizhang Xie. I will make an effort to keep the talk accessible to graduate students and non-experts. The Dirac operators and scalar curvature rigidity of manifolds Sponsored by the Meyer Fund
Thu, Apr. 2 1pm (MATH 350)	Algebraic Geometry Multiple speakers X Spring 2026 FRAG Day FRAG Day

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