Department of

Mathematics


Seminar Calendar
for events the day of Friday, February 22, 2019.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Friday, February 22, 2019

2:00 pm in 141 Altgeld Hall,Friday, February 22, 2019

Monic representations for higher-rank graph C*-algebras

Judith Packer (University of Colorado Boulder)

Abstract: We discuss the notion of monic representations for C*-algebras associated to finite higher–rank graphs without sources, generalizing a concept first defined by D. Dutkay and P. Jorgensen for representations of Cuntz algebras. Monic representations are those that, when restricted to the commutative C*-subalgebra of continuous functions on the infinite path space associated to the graph, admit a cyclic vector. We connect these representations to earlier work on dynamical systems with C. Farsi, E. Gillaspy, and S. Kang. The results discussed are based on joint work with C. Farsi, E. Gillaspy, S. Kang, and P. Jorgensen.

3:00 pm in 341 Altgeld Hall,Friday, February 22, 2019

Lipschitz Free Spaces

Christoper Gartland (Illinois Math)

Abstract: This will be a introduction to Lipschitz free spaces. The Lipschitz free space of a metric space $M$ is a Banach space LF$(M)$ containing $M$ so that for any Banach space $B$ and contractive map $M \to B$, there exists a unique linear contraction LF$(M) \to B$ extending the original map. We'll look at some examples, and discuss current results and open problems.

4:00 pm in 145 Altgeld Hall,Friday, February 22, 2019

27 lines on smooth cubic surfaces

Ningchuan Zhang (UIUC)

Abstract: In this talk, I will show that there are $27$ projective lines on a smooth cubic surface in $\mathbb{CP}^3$ by a Chern class computation. This talk is based on a course project I did with Professor Sheldon Katz in Math 524 (now 514) in Spring 2015. No knowledge of algebraic geometry or characteristic classes is assumed.

4:00 pm in 241 Altgeld Hall,Friday, February 22, 2019

Functions of Operators

Prof. John P D'Angelo   [email] (UIUC Math)

Abstract: We all know what we mean by the derivative operator D = d/dx. What might we mean by the square root of D? In other words, how do we take “half” of a derivative? More generally, how might we take g(D) for a more general function g. Starting from junior high school math (I am not joking!) we figure out the ideas that lead to a nice answer.

4:00 pm in 345 Altgeld Hall ,Friday, February 22, 2019

Cancelled