Organizing Committee

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
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
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
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  

Request Reimbursement

Acceptable Costs
  • 1 roundtrip between your home institute and ICERM
  • Flights in economy class to either Providence airport (PVD) or Boston airport (BOS)
  • Ground Transportation to and from airports and ICERM.
Unacceptable Costs
  • Seats in economy plus, business class, or first class
  • Change ticket fees of any kind
  • Multi-use bus passes
  • Meals or incidentals
Advance Approval Required
  • Personal car travel to ICERM from outside New England
  • Multiple-destination plane ticket; does not include layovers to reach ICERM
  • Arriving or departing from ICERM more than a day before or day after the program
  • Multiple trips to ICERM
  • Rental car to/from ICERM
  • Arriving or departing from airport other than PVD/BOS or home institution's local airport
  • 2 one-way plane tickets to create a roundtrip (often purchased from Expedia, Orbitz, etc.)
Reimbursement Request Form

Refer to the back of your ID badge for more information. Checklists are available at the front desk.

Reimbursement Tips
  • Scanned original receipts are required for all expenses
  • Airfare receipt must show full itinerary and payment
  • ICERM does not offer per diem or meal reimbursement
  • Allowable mileage is reimbursed at prevailing IRS Business Rate and trip documented via pdf of Google Maps result
  • Keep all documentation until you receive your reimbursement!
Reimbursement Timing

6 - 8 weeks after all documentation is sent to ICERM. All reimbursement requests are reviewed by numerous central offices at Brown who may request additional documentation.

Reimbursement Deadline

Submissions must be received within 30 days of ICERM departure to avoid applicable taxes. Submissions after thirty days will incur applicable taxes. No submissions are accepted more than six months after the program end.

Lecture Videos

Link homology as a tale of two quivers

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