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4:00pm - RH 440R - Logic Set Theory Mauro Di Nasso - (University of Pisa) Ramsey's Witnesses and infinite partition regular configurations I will introduce the notion of “Ramsey partition regularity,” a generalization of partition regularity involving infinite configurations. This notion is characterized in terms of certain ultrafilters related to tensor products, and called Ramsey witnesses. We use the properties of this characterization in the nonstandard context of hypernatural numbers to determine whether various patterns involving polynomials and exponentials are Ramsey partition regular. (Joint work with L. Luperi Baglini, M. Mamino, R. Mennuni, and M. Ragosta.) |
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4:00pm to 5:00pm - RH 340N - Applied and Computational Mathematics Bhargav Karamched - (Florida State University) TBA |
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11:00am - TBA - Harmonic Analysis Haonan Zhang - (USC) TBA |
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1:00pm to 2:00pm - RH 440R - Mathematical Physics Milivoje Lukic - (Rice University) Universality limits for orthogonal polynomials Fixed measure scaling limits of Christoffel--Darboux kernels encode information about orthogonal polynomials, such as the local distribution of their zeros. Different limit kernels are associated with different universality classes, e.g. sine kernel with bulk universality and locally uniform zero spacing. We will describe necessary and sufficient conditions for a class of scaling limits corresponding to homogeneous de Branges spaces; this includes bulk universality, hard edge universality, and other notable classes. The talk is based on joint work with Benjamin Eichinger and Harald Woracek. |
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9:00am to 9:50am - Zoom - Inverse Problems Tatiana Bubba - (University of Ferrara) TBA |