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12:00pm - zoom - Probability and Analysis Webinar Arnaud Marsiglietti - (University of Florida) Moments, concentration, and entropy of log-concave distributions In this talk I will present a simple mechanism, combining log-concavity and majorization in the convex order to derive moments, concentration, and entropy inequalities for random variables that are log-concave with respect to a reference measure |
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4:00pm to 4:50pm - RH 340N - Geometry and Topology Yujie Xu - (MIT) Normalization in the integral models of Shimura varieties of abelian type
Shimura varieties are moduli spaces of abelian varieties with extra structures (e.g. algebraic cycles, or more generally Hodge cycles). Over the decades, various mathematicians (e.g. Mumford, Deligne, Rapoport, Kottwitz, etc.) have constructed nice integral models of Shimura varieties. In this talk, I will discuss some motivic aspects of integral models of Hodge type (or more generally abelian type) constructed by Kisin and Kisin-Pappas. I will talk about my recent work on removing the normalization step in the construction of such integral models, which gives closed embeddings of Hodge type integral models into Ag. I will also mention an application to toroidal compactifications of such integral models. If time permits, I will also mention a new result on connected components of affine Deligne–Lusztig varieties, which gives us a new CM (i.e. complex multiplication) lifting result for integral models of Shimura varieties at parahoric levels and serves as an ingredient for my main theorem at parahoric levels. |
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11:00am - 440R - Harmonic Analysis Michał Wojciechowski - (Mathematical Institute of the Polish Academy of Sciences) On the bi-analytic version of the Mitiagin-DeLeeuw-Mirkhil non-inequality Using the method of Rudin-Shapiro polynomials we prove the bi-analytic version of the Mitiagin - DeLeeuw - Mirkhil non-inequality for complex partial differential operators with constant coefficients on bi-disc |
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1:00pm to 2:00pm - RH 440R - Dynamical Systems William Wood - (UC Irvine) Geometry of Hyperbolic Loci in $SL(2,R)^n$, Part 2 We will prove that there exists a discrete Schrodinger operator with a potential given by a sum of a random potential and a periodic background, with the spectrum that consists of an infinite number of intervals. |
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2:00pm to 3:00pm - 510R Rowland Hall - Combinatorics and Probability Asaf Ferber - (UCI) Robustness of graph/hypergraph properties In this talk we will consider some notions of `robustness' of graph/hypergraph properties. We will survey some existing results and will try to emphasize the following new result (joint with Adva Mond and Kaarel Haenni): The binomial random digraph $D_{n,p}$ |
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9:00am to 9:50am - Zoom - Inverse Problems Jan Boman - (Stockholm University) Radon transforms supported in hypersurfaces |
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10:00am to 11:00am - RH 510R - Number Theory Alessandro Fazzari - (American institute of Math) About the joint moments of the Riemann zeta function and its logarithmic derivative Abstract: We will discuss classical statistics for the Riemann zeta function when the averages are tilted by powers of zeta on the critical line. In particular, we will focus on the weighted statistics for the non-trivial zeros of the Riemann zeta function, blending together the theory of moments and that of n-th level density. This weighted approach allows for a better understanding of the interplay between zeros and large values of zeta. |
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1:00pm - DBH 1200 - Graduate Seminar Asaf Ferber - (UCI) TBA |
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8:00am to 2:00pm - - Conference - (UC Irvine) The 28th SCGAS Southern California Geometric Analysis Seminar |