Friday, February 25, 2022
Time | Items |
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All day |
|
9am |
02/25/2022 - 9:00am We discuss topics of common interest in the areas of geometry, probability, and combinatorics. Location: |
12pm |
02/25/2022 - 12:00pm Schur-Weyl duality was originally defined by Schur in 1901, which builds a correspondence between the representations of the symmetric group and the polynomial representations of the general linear group. In this talk, I will first walk through the classical Schur-Weyl duality, which states that the symmetric group and the general linear group generate each other’s centralizers. Then I will discuss some possible generalizations of the classical Schur-Weyl duality, for example, the duality between the orthogonal group and the Brauer algebra. Location: |
2pm |
02/25/2022 - 2:00pm Abstract: One possible interpretation of the SYZ conjecture is that for a polarized family of CY manifolds near the large complex structure limit, there is a special Lagrangian fibration on the generic region of the CY manifold. Generic here means a set with a large percentage of the CY measure, and the percentage tends to 100% in the limit. I will discuss some recent progress on this version of the SYZ conjecture, with some emphasis on the special case of the Fermat family. Location: |