Topology and Symplectic Geometry / Math of Gauge Fields seminar

from Monday
January 01, 2018 to Thursday
May 31, 2018
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Thursday
January 25, 2018

1:00 PM - 2:00 PM
MAT 5-127
Kenji Fukaya, Stony Brook University
Gluing analysis in relative Gromov Witten theory

In this talk, I will explain certain points about the construction of Kuranishi structure (or anything similar to obtain virtual fundamental chains) on the compactification of moduli spaces appearing in relative Gromov-Witten theory and their variants in Floer homology. Various points of the construction are similar to the case of stable map compactification for ordinary Gromov Witten theory. However, there are certain points which are not discussed in the literature and are not so much trivial.


Thursday
February 01, 2018

1:00 PM - 2:00 PM
MAT 5-127
Linh Truong, Columbia University
Truncated Heegaard Floer homology and concordance invariants

Heegaard Floer homology has proven to be a useful tool in the study of knot concordance. Ozsvath and Szabo first constructed the tau invariant using the hat version of Heegaard Floer homology and showed tau provides a lower bound on the slice genus. Later, Hom and Wu constructed a concordance invariant using the plus version of Heegaard Floer homology; this provides an even better lower-bound on the slice genus. In this talk, I discuss a sequence of concordance invariants that are derived from the truncated version of Heegaard Floer homology. These truncated Floer concordance invariants generalize the Ozsvath-Szabo and Hom-Wu invariants.


Thursday
April 26, 2018

1:00 PM - 2:00 PM
MAT 5-127
Sara Venkatesh, Columbia University
TBA

TBA


Show events for:
Instructions for subscribing to Stony Brook Math Department Calendars