Mode: In-Person Title: Signature, Toledo invariant, and the surface group representations in Hermitian semisimple Lie groups Abstract: People study higher Teichmuller theory and using several invariants, one tries to characterize the representations. We give a unifying formula between (Atiyah-Patodi-Singer) signature, … Read more
Mode: In person Title: Opers and Integrable Systems Abstract: I will explain how the geometric construction of opers (as well as its difference and elliptic generalizations) is related to quantum and classical integrable systems. Opers thereby provide a framework to … Read more
Mode: In-person Title: Long time solutions for one dimensional dispersive flows Abstract: The question of long time or global existence of solutions is one of the fundamental ones in the study of partial differential equations. For this talk I will … Read more
Mode: In-person Title: A priori interior estimates for Lagrangian mean curvature equations Abstract: In this talk, we will introduce the special Lagrangian and Lagrangian mean curvature type equations. We will derive a priori interior estimates for the Lagrangian mean curvature … Read more
Mode: In-person Title: The dotted Temperley-Lieb category and handle-slides Abstract: Khovanov homology can be upgraded to an invariant of pairs (K,V) where K is a framed knot and V is an object of the dotted Temperley-Lieb category dTL. In this … Read more
Mode: In-Person Title: Exponential time-decay for a one dimensional wave equation with coefficients of bounded variation Abstract: We consider the initial-value problem for the one-dimensional wave equation with coefficients that are positive, constant outside of an interval, and have bounded … Read more
Mode: In person Title: Polytopes, toric varieties, and the intersection homology of moduli spaces of semistable bundles Abstract: Toric varieties are intimately related to the combinatorics of polytopes, and I will describe an important example of such a relation linked … Read more
Mode: In-person Title: Cluster Structures on Double Bott-Samelson Cells Abstract: By the Bruhat decomposition theorem, relative positions between flags in G/B are encoded by the corresponding Weyl group W. Given a pair of positive braids (b,d) associated with the Weyl … Read more
Mode: In-person Title: Stability of spectral partitions with corners Abstract: Given the nth eigenfunction of the Laplacian on a manifold, its zero set partitions the manifold into at most n connected components, called nodal domains. Knowing when this upper bound … Read more
Mode: In-person Title: Derived Superequivalences for Spin Symmetric Groups and Odd sl2-categorifications Abstract: Since Chuang and Rouquier's pioneering work showing that categorical sl(2)-actions give rise to derived equivalences, the construction of derived equivalences has been one of the more prominent … Read more
Speaker: Dr. Hannah Schwartz Time: 4:00p-5:00p Mode: In Person Location: Phillips 332 Title: A trip to the movies, starring: spheres in 4-manifolds Abstract: How, and why, should surfaces in 4-manifolds be visualized? We will begin by illustrating movies of knotted surfaces in four dimensions, … Read more
Speaker: Dr. Philip Tosteson Time: 4:00p-5:00p Mode: In Person Location: Phillips 332 Title: Symmetry and stability in configuration and moduli spaces Abstract: In algebraic topology, a common way to study a space X is by constructing vector spaces that detect topological information about it. … Read more
