Organizing Committee
Abstract

The purpose of this workshop is to bring together experts in representation theory, categorification, low-dimensional topology, mathematical physics, and combinatorics, in order to understand how categorifications of the braid groups and Hecke algebras allow one to compute and understand link invariants. Our concrete goals are to:

(a) develop and compare various algebro-geometric models for link homology, and use them to explicitly compute Khovanov-Rozansky homology of various links

(b) categorify various structures in the Hecke algebra (center, cocenter, Kazhdan-Lusztig cells, Jones-Wenzl projectors) using Soergel bimodules

(c) compare the geometric and algebraic constructions above, and understand the connection between the (co)center of the Soergel category and the Hilbert scheme of points on the plane

This workshop is fully funded by a Simons Foundation Targeted Grant to Institutes.

Image for "Soergel Bimodules and Categorification of the Braid Group"

Confirmed Speakers & Participants

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee

Workshop Schedule

Friday, February 28, 2020
TimeEventLocationMaterials
8:30 - 8:55am ESTRegistration - ICERM 121 South Main Street, Providence RI 0290311th Floor Collaborative Space 
8:55 - 9:00am ESTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 10:00am ESTIntroduction - Eugene Gorsky, UC Davis11th Floor Lecture Hall 
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTMatrix factorizations and Soergel bimodules - Alexei Oblomkov, UMASS Amherst11th Floor Lecture Hall
11:30 - 11:40am ESTGroup Photo11th Floor Lecture Hall 
11:45 - 1:45pm ESTBreak for Lunch / Free Time  
1:45 - 2:30pm ESTTriply graded homology of algebraic links and affine Springer theory - Oscar Kivinen, Caltech11th Floor Lecture Hall
2:45 - 3:15pm ESTCoffee/Tea Break11th Floor Collaborate Space 
3:15 - 4:15pm ESTIntroduction to Soergel Bimodules - Ben Elias, University of Oregon11th Floor Lecture Hall
4:30 - 6:00pm ESTWelcome Reception11th Floor Collaborative Space 
Saturday, February 29, 2020
TimeEventLocationMaterials
9:00 - 9:45am ESTCocenter of the Soergel category - Matt Hogancamp, Northeastern University11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTInvariants of 4-manifolds from Khovanov-Rozansky link homology - Paul Wedrich, MSRI11th Floor Lecture Hall
11:30 - 1:15pm ESTBreak for Lunch / Free Time  
1:30 - 2:15pm ESTBraids and Annular Khovanov-Lee theory- a survey - Eli Grigsby, Boston College11th Floor Lecture Hall
2:30 - 3:15pm ESTAn annular filtration on Sarkar-Seed-Szabo's spectral sequence - Melissa Zhang, University of Georgia11th Floor Lecture Hall
3:30 - 4:00pm ESTCoffee/Tea Break11th Floor Collaborate Space 
4:00 - 5:00pm ESTOpen Discussion11th Floor Lecture Hall 
Sunday, March 1, 2020
TimeEventLocationMaterials
9:00 - 9:45am ESTFoam evaluation and Kronheimer-Mrowka homology of planar graphs - Mikhail Khovanov, Columbia University11th Floor Lecture Hall
10:00 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTLink homology as a tale of two quivers - Lev Rozansky, University of North Carolina at Chapel Hill11th Floor Lecture Hall
12:30 - 2:15pm ESTBreak for Lunch / Free Time  

Lecture Videos

Link homology as a tale of two quivers

Lev Rozansky
University of North Carolina at Chapel Hill
March 1, 2020