Upcoming Events

In this talk, Vatsal will sketch some of the many answer proposed to the question in the title of the talk, starting with the most elementary attempts, and ending with some of the more sophisticated ones.

Abstract: This talk focuses on Richardson varieties in the complete flag variety, which are intersections of a Schubert variety with an opposite Schubert variety. Richardson varieties are indexed by intervals in the Bruhat order on the symmetric...

Abstract: We will complete the story from last time: the Chern character does not map the K-theoretic Thom class directly to the HZ-theoretic one. Figuring out the error term – the Todd class – will lead us to the Grothendieck-Riemann-Roch theorem...

Abstract: Tight closure was introduced by Hochster and Huneke in 1986 and has been a highly effective tool for solving problems in commutative algebra and algebraic geometry. It is also closely connected with the study of singularities defined via...

The distribution of rational points has been an old problem in number theory. Some of the milestones include the Mordell-Weil theorem and the Faltings’ theorem, explicitly explaining the structure of rational points on abelian varieties and on curves...

Abstract: I will present a completion theory for hyperbolic distance data at the interface of matrix analysis, graph theory, and hyperbolic geometry, drawing particularly on representations of chordal graphs. In analogy with the positive semidefinite...

Abstract: A multiflow in a planar graph is uncrossed if its support paths do not cross in the plane. Recently such flows have played a role in approximation algorithms for maximum disjoint paths in "fully-planar" instances, where the combined supply...

TBA

In this talk, Grigory Solomadin will present two results concerning topological homotopy algebras over unital, colored, nonsymmetric operads in sets. The first provides a cellular approximation that preserves the underlying collection, while the...

The most intensely studied models of quantum gravity converge to metrics of negative curvature in the semiclassical limit. However, Einstein’s theory of gravity posits a positive curvature metric, and the gravity in our universe is believed to be of...