Departement Mathematik

Symplectic geometry seminar

×

Modal title

Modal content

Wintersemester 1999/00

Datum / Zeit Referent:in Titel Ort
* NaN. undefined NaN
00:00-00:00
Details

Symplectic Geometry Seminar

Titel Complexity of topological spaces and complexity of triangulated categories
Referent:in, Affiliation
Datum, Zeit NaN. undefined NaN, 00:00-00:00
Ort NO E 39
Sonn­egg­stras­se 5, 8092 Zü­rich
Abstract There are several different notions of "complexity" for a topological space M. For instance, when M is a manifold one can study: the Lebesgue covering dimension; sum of Betti numbers; minimal number of Morse critical values; or the Lusternik–Schnirelmann category. Similarly, given a triangulated category C, one can measure its complexity using invariants such as the Rouquier dimension; diagonal dimension; or minimal length of presentation as a homotopy colimit. In this talk, I will discuss some of the relations between these categorical invariants and topological invariants when the category C is the Fukaya category of the cotangent bundle of M (equivalently, the category of modules over chains on the based loop space on M). I will mostly focus on - introducing the above invariants of topological spaces and categories and - discussing how Lagrangian cobordisms play a role in bounding the diagonal dimension of C in terms of the minimal number of critical values of a Morse function on M.
Complexity of topological spaces and complexity of triangulated categoriesread_more
NO E 39
Sonn­egg­stras­se 5, 8092 Zü­rich

Hinweise: mit einem Stern gekennzeichnete Ereignisse (*) zeigen an, dass die Zeit und/oder der Ort von der üblichen Zeit und/oder dem üblichen Ort abweichen und wenn Sie möchten, können Sie den iCal/ics-Kalender abonnieren.

Archiv: FS 24 HS 23 FS 23 HS 22 FS 22 FS 21 HS 20 FS 20 HS 19 FS 19 HS 18 FS 18 HS 17 FS 17 HS 16 FS 16 HS 15 FS 15 HS 14 FS 14 HS 13 FS 13 HS 12 FS 12 HS 11 FS 11 HS 10 FS 10 HS 09 WS 03/04 WS 99/00

JavaScript wurde auf Ihrem Browser deaktiviert