Location: IHP, amphi Hermitte
The talks are broadcasted via Zoom:
https://zoom.us/j/89445897442?pwd=QmVZWHBiM2Nwb09yUVJERnYrSHJrUT09
10:45 Pranav Chakravarthy (Bruxelles)
Homotopy type of Equivariant symplectomorphism groups and Embedding spaces.
Abstract: In this talk, we present results on the homotopy type of the group of equivariant symplectomorphisms of S²xS² and CP² blown up once under the presence of a Hamiltonian circle and finite cyclic group actions. We prove that the group of equivariant symplectomorphisms is homotopy equivalent to either a torus, or to the homotopy pushout of two tori depending on whether the group action extends to a single toric action or to exactly two nonequivalent toric actions.
Time permitting, we shall also discuss upcoming work on homotopy type of equivariant embedding spaces and their relation to symplectomorphism groups. This talk is based on joint work with Martin Pinsonnault and upcoming work with River Chiang, Liat Kessler and Martin Pinsonnault.
14:00 Fabio Gironella (Nantes)
Vanishing cycles for symplectic foliations.
Abstract: The main objects of the talk will be symplectic foliations, and more precisely a subclass of these called "strong". Strong symplectic foliations are meant to be one of the possible rigid generalizations of taut foliations to high dimensions, and indeed have quite a rigid nature, with techniques such as pseudo-holomorphic curves à la Gromov and asymptotically holomorphic sequences of sections à la Donaldson working well in this setting. I will present a joint work (in progress) with Klaus Niederkrüger and Lauran Toussaint that aims at giving a new obstruction for a symplectic foliation to be strong. This comes in the form of a symplectic high-dimensional version of vanishing cycles for smooth codimension 1 foliations on 3-manifolds, and the proof relies on pseudo-holomorphic curve techniques, in a way which is parallel to the case of Plastikstufe introduced by Niederkrüger '06 in the contact case.
15:45 Bingyu Zhang (Odense)
Hochschild cohomology of Tamarkin category and symplectic (co)homology.
Abstract: We can define a Tamarkin category for an open set in a cotangent bundle using the microlocal geometry of sheaves. Some computational evidence indicates that the so-called Chiu-Tamarkin invariant is deeply related to the Hochschild cohomology of the Tamarkin category and symplectic (co)homology. In this talk, we will explain the relation precisely: All of them are isomorphic in a suitable filtered sense. The talk is based on a joint work with Christopher Kuo and Vivek Shende..
Next Symplectix:
02/02 (M. Damian, Y. Sun, ?), 01/03 (?, ?, ?), 05/04 (?, ?, ?)
Other symplectic activity in Paris:
- Séminaire Nantes-Orsay
- Symplectic Zoominar (every Fridays except Symplectix' Fridays at 15:15, Paris time)
