MS Seminar (Mathematics - String Theory)

Speaker: Cailan Li (Academia Sinica)
Title: Ext Enhanced Soergel Bimodules and Triply Graded Link Homology
Date (JST): Fri, Nov 01, 2024, 13:30 - 15:00
Place: Balcony A
Abstract: Soergel Bimodules began as an alternative approach to proving the illustrious Kazhdan-Lusztig conjectures and have since become a cornerstone of representation theory and link homology. In this talk we will give a diagrammatic presentation for Ext groups between Soergel Bimodules in rank 2 à la Elias-Khovanov and Elias-Williamson. We then apply our results to give new computations of triply graded link homology, in particular of negative braids.