Speaker:
Yi Wang (HIMIS)
Time:
October 21 (Wed), 2026, 2:30-3:30 pm
Location:
HIMIS 7A1
Title:
Symplectic rigidity: lower bounds for Hamiltonian fixed points and Lagrangian intersections
Abstract:
I will trace the development of some symplectic rigidity results, from Poincaré’s last geometric theorem to our recent proof of the Arnold–Givental conjecture in full generality, which is joint work with Shaoyun Bai, Egor Shelukhin, and Guangbo Xu. The focus will be on lower bounds for Hamiltonian fixed points and Lagrangian intersections, highlighting the role of Floer theory in their historical development. Examples will include the sphere, the torus, and smooth projective varieties.
Bio:
Yi Wang is an Assistant Researcher at HIMIS, which he joined in August 2026. He completed his Ph.D. at Stony Brook University in 2023 with Kenji Fukaya, then held a Golomb Visiting Assistant Professorship at Purdue University. His research spans algebraic topology and symplectic geometry, with a particular focus on string topology and its algebraic models.