Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, November 15, 2017.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Wednesday, November 15, 2017

3:00 pm in 345 Altgeld Hall,Wednesday, November 15, 2017

Vanishing of Littlewood-Richardson polynomials is in P

Colleen Robichaux (UIUC)

Abstract: J. DeLoera-T. McAllister and K. D. Mulmuley-H. Narayanan-M. Sohoni independently proved that determining the vanishing of Littlewood-Richardson coefficients has strongly polynomial time computational complexity. Viewing these as Schubert calculus numbers, we prove the generalization to the Littlewood-Richardson polynomials that control equivariant cohomology of Grassmannians. We construct a polytope using the edge-labeled tableau rule of H. Thomas-A. Yong. Our proof then combines a saturation theorem of D. Anderson-E. Richmond-A. Yong, a reading order independence property, and E. Tardos' algorithm for combinatorial linear programming. This is joint work with A. Adve and A. Yong.

4:00 pm in Altgeld Hall 141,Wednesday, November 15, 2017

Deformation theory of Galois representations

Ravi Donepudi   [email] (UIUC)

Abstract: The first systematic study of deformation theory in algebraic number theory, specifically its application to the theory of Galois representations, was done by Barry Mazur (1987). The goal of this talk is to motivate why this is a useful and interesting thing to do. We begin with discussing why one should study Galois representations in the first place, let alone deform them. Then, we define appropriate categories that serve as the domains of our deformation functors and discuss aspects of their representability. Finally, we give examples of Galois representations arising “naturally” from arithmetic objects (like elliptic curves and modular forms) and from algebraic geometry (via the étale cohomology of smooth projective varieties). Time permitting, we will discuss some conjectures in the theory of Galois representations and the role deformation theory plays in understanding them better. No scheme theory is assumed.

4:00 pm in 245 Altgeld Hall,Wednesday, November 15, 2017

Navigating Culture in the Classroom

Dong Dong, Paulina Koutsaki, Marissa Loving, Bruce Reznick (Illinois Math)

Abstract: The goal of this panel is to provide an informal space of discussion on how different cultures and experiences can shape interactions in the classroom. Having a diverse population of students can present both challenges and successes in developing as an instructor or Teaching Assistant. We hope through this panel, we can share experiences on how culture influences teaching, interactions with students, and share ideas on how to create a classroom environment that fosters learning mathematics and is culturally responsive. *This panel will count towards the requirement of Additional Teaching Development for the Center for Innovation in Teaching and Learning (CITL) certificates. You may bring your application or sign the attendance sheet provided at the event. (http://citl.illinois.edu/citl-101/teaching-learning/teaching-certificates/graduate-teacher-certificate)