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Events for the weeks of April 12th – 24th

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Tue, Apr. 14 1:25pm (MATH 2…	Algebra/Logic Sangman Lee (CU Boulder) X We study the subpower intersection problem (SIP) for a fixed finite semigroup S: given sets A,B of n-tuples A,B over S, decide whether the subsemigroups generated by A and B have nonempty intersection. We will present the following complexity results for SIP over finite semigroups. For every finite semigroup S, SIP(S) is in PSPACE. For finite bands, SIP(S) is in P if S is normal and is NP-complete otherwise. For full transformation semigroups T_n, SIP(T_2) is NP-complete and SIP(T_n) is PSPACE-complete for n > 2. For finite (completely) simple semigroups, SIP(S) is in P, and moreover SIP(S^1) is in P if S is a group and is NP-complete otherwise. The subpower intersection problem for finite semigroups
Wed, Apr. 15 12:20pm (MATH …	Diversity Facilitators: Howy Jordan, Emily Montelius, and Maya Ornstein X The CHAT+ will start at 12:20. Lunch will be available at 12:00. If you plan to join, we ask that you RSVP by April 12 at the link below. There is also an option to indicate any dietary restrictions we should keep in mind. https://docs.google.com/forms/d/e/1FAIpQLSf_G3REEmhuvZwpPXpsZI-xF8UhZpRa8yfx--fjS-iigv31AQ/viewform?usp=sharing&ouid=102614817914920289902 Supporting Minority Students in Graduate Programs
Wed, Apr. 15 2:10pm (Math350)	Math Phys Saksham Hassanandani (CU Boulder) The Bargmann-Segal representation and Schrödinger operators
Fri, Apr. 17 2:30pm (MATH 3…	PDE/Analysis Irina Holmes Fay (University of Wyoming) TBA Sponsored by the Meyer Fund
Wed, Apr. 22 2:10pm (Math350)	Math Phys Mudassir Moosa (CU Boulder Physics) TBA
Thu, Apr. 23 11am (MATH 220)	Functional Analysis Roberto Hernandez Palomares (University of Waterloo) X Spin models for singly-generated Yang-Baxter planar algebras are known to be determined by certain highly-regular classical graphs such as the pentagon or the Higman-Sims graph, which are extremely rare. Examples of spin models include the Jones and Kauffman polynomials. We will discuss the notion of higher-regularity for quantum graphs and give new examples of non-classical graphs yielding spin models. Time allowing, we will discuss some applications to quantum groups, topology and quantum information. Quantum graphs and spin models Sponsored by the Meyer Fund
Thu, Apr. 23 2:30pm (MATH 3…	Functional Analysis J. Quigg (Arizona State University) X One approach to identifying the C*-algebra of a product system over N^k is to build a representation of it with the aim of applying the Gauge-Invariant Uniqueness theorem. The main problem is how to build the representation. This is complicated by the commutativity of N^k - so many balanced tensor-product correspondences are isomorphic. I'll show how an abstract categorical result of Fowler-Sims can be used to surmount this obstacle. Joint work with Valentin Deaconu, Menevse Eryuzlu Paulovicks, and S. Kaliszewski. Use of monoidal categories to generate representations of product systems over N^k Sponsored by the Meyer Fund
Fri, Apr. 24 2:30pm (MATH 3…	PDE/Analysis Xueying Yu (Oregon State University) X This talk focuses on a fundamental concept in the field of partial differential equations - unique continuation principles. Such a principle describes the propagation of the zeros of solutions to PDEs. Specifically, it answers the question: what condition is required to guarantee that if a solution to a PDE vanishes on a certain subset of the spatial domain, then it must also vanish on a larger subset of the domain. Motivated by Hardy’s uncertainty principle, Escauriaza, Kenig, Ponce, and Vega were able to show in a series of papers that if a linear Schrödinger solution decays sufficiently fast at two different times, the solution must be trivial. In this talk, we will discuss unique continuation properties of solutions to higher-order Schrödinger equations and variable-coefficient Schrödinger equations, and extend the classical Escauriaza-Kenig-Ponce-Vega type of result to these models. This is based on joint works with S. Federico-Z. Li, and Z. Lee. Some unique continuation results for Schrödinger equations Sponsored by the Meyer Fund

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