Семинар из симплектичке топологије, 20. децембар 2022.

• 19. Децембар, 2022
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Наредни састанак Семинара биће одржан у уторак, 20. децембра 2022, у сали 840 Математичког факултета са почетком у 14.15.
 
Предавач: Филип Броћић, Универзитет у Монтреалу
 
Наслов предавања: RIEMANNIAN DISTANCE AND SYMPLECTIC EMBEDDINGS TO COTANGENT BUNDLE
 
Апстракт: In the talk, we will give bounds on the Lagrangian version of Gromov width inside of unit disc-bundle D^*N relative to zero section N. As a corollary of this bound result, we define a distance D_W on Lagrangian L in a symplectic manifold (M,ω) associated to symplectic properties of it's Weinstein neighborhood W. Distance D_W is defined using relative symplectic embeddings to W. It is equivalent to any distance d_g on L coming from a Riemannian metric g. The main result of the talk relates a length of a curve on the zero section N of T^*N with respect to D_W to the usual length coming from Riemannian metric g in the case when Weinstein neighborhood W is the unit-disc bundle D^*N.