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: 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: 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: 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