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Tuesday Seminar on Topology
Seminar information archive ～11/12｜Next seminar｜Future seminars 11/13～
| Date, time & place | Tuesday 16:00 - 17:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | IKE Yuichi, KONNO Hokuto, SAKASAI Takuya |
2026/11/24
16:00-17:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Hiro Lee Tanaka (Tokyo Metropolitan University)
Excellent Morse functions and Generating family spectra (日本語)
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
Hiro Lee Tanaka (Tokyo Metropolitan University)
Excellent Morse functions and Generating family spectra (日本語)
[ Abstract ]
Lisa Traynor and I introduced new invariants -- generating family spectra -- of Legendrians equipped with generating families. These invariants are stable homotopy lifts of classical invariants, and are conjectured to model stable homotopy lifts of morphisms in infinitesimally wrapped Fukaya categories. Notably, our constructions do not involve sheaf theory nor Floer theory. As an application, we prove that one can detect infinitely many new connected components in the space of "excellent, fibered-at-infinity Morse functions" (notions due to Thom and Gromov-Eliashberg) on Euclidean space. In this talk, I will introduce these topics and give a rough explanation of the proofs.
[ Reference URL ]Lisa Traynor and I introduced new invariants -- generating family spectra -- of Legendrians equipped with generating families. These invariants are stable homotopy lifts of classical invariants, and are conjectured to model stable homotopy lifts of morphisms in infinitesimally wrapped Fukaya categories. Notably, our constructions do not involve sheaf theory nor Floer theory. As an application, we prove that one can detect infinitely many new connected components in the space of "excellent, fibered-at-infinity Morse functions" (notions due to Thom and Gromov-Eliashberg) on Euclidean space. In this talk, I will introduce these topics and give a rough explanation of the proofs.
https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index_e.html
