Topology Seminar- Unifying colored sl(2) link homology

Greater Washington Topology Seminar

The following is a list of confirmed speakers and dates for the Greater (George) Washington Topology Seminar seminar: 

1. March 5, 2021: Maciej Mroczkowski (University of Gdańsk)

2. March 12, 2021: Victoria Lebed (Université de Caen - Normandie )

3. March 26, 2021: Dirk Schütz (University of Durham)

4. April 2, 2021: Peter Samuelson (University of California, Riverside)

5. April 9, 2021: Krzysztof Putyra (Universität Zürich)

6. April 16, 2021: Michal Jablonowski (University of Gdańsk)

7. April 23, 2021: Nathan Geer (Utah State University)

8. April 30, 2021: Joseph Boninger (CUNY)

9. May 7, 2021: William Goldman (University of Maryland, College Park) 

10. May 14, 2021: Wade Bloomquist (Georgia Tech)

The next talk will be by Krzysztof Putyra and will take place on April 9, 2021 from 1:00pm to 2:00pm EDT. 

Title: Unifying colored sl(2) link homology

Abstract: In the recent project with Anna Beliakova, Stephan Wehrli and Matt Hogancamp we are comparing two different categorifications of the colored Jones polynomial: Khovanov's construction (based on a resolution of a symmetric representation in the Temperly-Lieb category) and Cooper-Krushkals' (via categorified Jones-Wenzl projector). Khovanov's construction is finite dimensional, but not defined in a purely diagrammatic way. On the other hand, Cooper-Krushal's complex can be constructed diagrammatically, but the homology has infinite dimension. In this talk I will discuss their quantized versions and how we show that they coincide.

The Zoom information is listed below: 

Topic: GW Topology Seminar 

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