Geography of surface bundles over surfaces

Series
Geometry Topology Seminar
Time
Monday, October 3, 2022 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
İnanç Baykur – UMass Amherst / Harvard – rbaykur@umass.eduhttps://people.math.umass.edu/~baykur/
Organizer
Miriam Kuzbary

An outstanding problem for surface bundles over surfaces, closely related to the symplectic geography problem in dimension four, is to determine for which fiber and base genera there are examples with non-zero signatures. I will report on our recent progress (joint with M. Korkmaz), which resolves the problem for all fiber and base genera except for 18 pairs at the time of writing.