WEEKLY ACTIVITIES

Nearby functors at infinity
Người trình bày: Phạm Khoa Bằng (Université de Rennes, France)


Thời gian: 16h30, thứ năm, 13/06/2024

Tóm tắt: Given a regular function f: X -> A^1, it is known that there exists a finite set such that outside this set f becomes a locally trivial fibration. This set is called the bifurcation set. Fantini and Raibaut constructed a notion named motivic bifurcation set containing the usual bifurcation set. Their construction relies on the notion of nearby cycles at infinity defined at the level of Grothendieck rings of varieties. In this talk, we propose a functorial approach to nearby cycles infinity. More concretely, we construct a non-virtual version of nearby cycles at infinity, namely, nearby functors at infinity defined at the level of motivic stable homotopy categories of Morel-Voevodsky and show that our construction realizes to Raibaut's construction. If time permits, we will discuss its relation with the analytic nearby motive at infinity.

Hình thức: Offline tại phòng 612 nhà A6 hoặc online qua google meet, link cụ thể https://meet.google.com/yep-kbzk-eao?pli=1&authuser=1

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