Department of

Mathematics


Seminar Calendar
for events the day of Friday, February 24, 2017.

     .
events for the
events containing  

(Requires a password.)
More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
     January 2017          February 2017            March 2017     
 Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
  1  2  3  4  5  6  7             1  2  3  4             1  2  3  4
  8  9 10 11 12 13 14    5  6  7  8  9 10 11    5  6  7  8  9 10 11
 15 16 17 18 19 20 21   12 13 14 15 16 17 18   12 13 14 15 16 17 18
 22 23 24 25 26 27 28   19 20 21 22 23 24 25   19 20 21 22 23 24 25
 29 30 31               26 27 28               26 27 28 29 30 31   
                                                                   

Friday, February 24, 2017

3:00 pm in 243 Altgeld Hall,Friday, February 24, 2017

Quantum cohomology of Grassmannians and Gromov-Witten invariants

Sungwoo Nam (UIUC Math)

Abstract: As a deformation of classical cohomology ring, (small) quantum cohomology ring of Grassmannians has a nice description in terms of quantum Schubert classes and it has (3 point, genus 0) Gromov-Witten invariants as its structure constants. In this talk, we will describe how 'quantum corrections' can be made to obtain quantum Schubert calculus from classical Schubert calculus. After studying its structure, we will see that the Gromov-Witten invariants, which define ring structure of quantum cohomology of Grassmannians, are equal to the classical intersection number of two-step flag varieties. If time permits, we will discuss classical and quantum Littlewood-Richardson rule using triangular puzzles.

4:00 pm in 241 Altgeld Hall,Friday, February 24, 2017

Geometry of convex hypersurfaces

Bill Karr (UIUC Math)

Abstract: A convex hypersurface in Euclidean space or Minkowski space is the boundary of an open convex set. Smooth convex hypersurfaces have non-negative sectional curvature and indicate properties of more general Riemannian manifolds with non-negative curvature. I will discuss some properties of convex hypersurfaces. Finally, I will describe a problem that arises from Lorentzian geometry involving convex hypersurfaces and geodesic connectedness and discuss a possible solution to this problem.

4:00 pm in 345 Altgeld Hall,Friday, February 24, 2017

On "Structurable equivalence relations" by R. Chen and A. Kechris: Structurability by structures with TDC (4th talk)

Aristotelis Panagiotopoulos (UIUC Math)

Abstract: In this talk, we prove a theorem of A. Marks included in the current paper. It says that every aperiodic countable Borel equivalence relation can be $\mathcal{A}$-structured for any countable structure $\mathcal{A}$ with trivial definable closure (TDC). Examples include the rationals, the random graph, and the rational Urysohn sphere.

4:30 pm in 239 Altgeld Hall,Friday, February 24, 2017

Department Social Hour

Abstract: The department will host a social hour from 4:30-5:30 pm in 239 Altgeld Hall. This is an opportunity for all members of the department to meet and exchange ideas.