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Tuesday Seminar on Topology
Seminar information archive ～10/02｜Next seminar｜Future seminars 10/03～
| Date, time & place | Tuesday 16:00 - 17:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | IKE Yuichi, KONNO Hokuto, SAKASAI Takuya |
2026/10/13
16:00-17:30 Room #hybrid/123 (Graduate School of Math. Sci. Bldg.)
Pre-registration required. See our seminar webpage.
Léo Bénard (Aix-Marseille Université)
On a Langlands duality conjecture for character varieties of 3 manifolds (ENGLISH)
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
Pre-registration required. See our seminar webpage.
Léo Bénard (Aix-Marseille Université)
On a Langlands duality conjecture for character varieties of 3 manifolds (ENGLISH)
[ Abstract ]
Inspired by a similar conjecture for skein modules of 3 manifolds formulated by Ben-Zvi, Cunningham, Jordan and Safranov, we conjecture that for G complex reductive group and L(G) its Langlands dual, for a 3 manifold M, if the character varieties X(M, G) and X(M, L(G)) are finite, then they have the same cardinality counted with multiplicity. We will discuss examples, non-examples, non-reduced points, and describe the cases where we can prove this statement. This is joint work with Renaud Detcherry (Dijon).
[ Reference URL ]Inspired by a similar conjecture for skein modules of 3 manifolds formulated by Ben-Zvi, Cunningham, Jordan and Safranov, we conjecture that for G complex reductive group and L(G) its Langlands dual, for a 3 manifold M, if the character varieties X(M, G) and X(M, L(G)) are finite, then they have the same cardinality counted with multiplicity. We will discuss examples, non-examples, non-reduced points, and describe the cases where we can prove this statement. This is joint work with Renaud Detcherry (Dijon).
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
