# Department of Mathematics Calendar

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## Symplectic and Poisson geometry seminar: Homotopic Stability Chambers in Blow-up Ruled Symplectic Surfaces

Event Type
Seminar/Symposium
n/a
Location
347 Altgeld Hall
Date
Mar 7, 2022   3:00 pm
Speaker
Olguta Buse
Contact
Joey Palmer
E-Mail
jpalmer5@illinois.edu
Views
16
This talk focuses on homotopic properties of symplectomorphism groups of blow ups of ruled surfaces. The scaffolding that allows to establish homotopic  stability chambers inside their symplectic cones expands from existing literature results on their minimal counterparts.

We extend inflation and J-holomorphic techniques (and other homotopic tools) to spaces of non-rational, non-minimal symplectic ruled surfaces. We will explain new results regarding $\pi_*$ of the symplectomorphism groups  and discuss future results. The results are in collaboration with Jun Li.