Department of

Mathematics


Seminar Calendar
for events the day of Monday, October 17, 2016.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Monday, October 17, 2016

10:00 am in Illini Room A, Illini Union,Monday, October 17, 2016

Corporate Forum and Career Fair

Abstract: The Department of Mathematics will host a Corporate Forum and Career Fair from 10 am - 4 pm on Monday, October 17, 2016 in Illini Room A of the Illini Union.

4:00 pm in 245 Altgeld Hall,Monday, October 17, 2016

Coding Theory in the time of internet and big data

Iwan Duursma (Department of Mathematics, University of Illinois)

Abstract: We illustrate various applications of algebra and combinatorics to coding theory, the subject of reliable and efficient transmission and storage of data.

4:00 pm in 241 Altgeld Hall,Monday, October 17, 2016

Legendrian knots and affine varieties

Emmy Murphy (Radcliffe Institute for Advanced Study at Harvard University)

Abstract: A smooth complex affine variety is in particular a Weinstein manifold, and therefore its symplectic topology is determined by a Legendrian link in a simple contact manifold. We discuss how to actually do this in practice, starting from a set of polynomials and obtaining a Legendrian front. We'll then discuss why this is useful for calculating wrapped Fukaya categories, and give some applications to mirror symmetry. Also we'll discuss applications using contact flexibility, proving that the Koras-Russel cubic is symplectomorphic to C^3.

5:00 pm in 241 Altgeld Hall,Monday, October 17, 2016

Renyi Divergence and Noncommutative $L_p$ spaces

Li Gao (UIUC Math)

Abstract: The Kullback–Leibler divergence (also called relative entropy) and its Renyi versions are measures of the difference between two probability distributions. In quantum information theory, a newly-defined Renyi relative entropy for density matrices has found its applications in various problems like strong converses and recoverability. I will present a recent work of Berta, Scholz and Tomamichel, in which they generalize Renyi relative entropy from finite dimensional matrices to arbitrary von Neumann algebras. The connection goes back to the constructions of noncommutative $L_p$ space for Type III von Neumann algebra around '80s, due to Araki-Masuda, Haagerup, Hilsum, Kosaki and others. We will see that the basic structures of noncommutative $L_p$ spaces imply the data processing inequality for the generalized Renyi divergence.