Topology Seminar

Organizer(s): 

For more information about this seminar, contact Zoltan Szabo, David Gabai, Francesco LinPeter Ozsvath, John Pardon or Jonathan Hanselman.

Please click on seminar title for complete abstract.

October 19, 2017
4:30pm - 5:30pm
Mayer-Vietoris sequence for relative symplectic cohomology

I will first recall the definition of an invariant that assigns to any compact subset K of a closed symplectic manifold M a module SH_M(K) over the Novikov ring. I will go over the case of M=two sphere to illustrate various points about the invariant. Finally I will state the Mayer-Vietoris property and explain under what conditions it holds.

Location
Fine Hall 314
Speaker: Umut Varolgunes ,
MIT
October 26, 2017
4:30pm - 5:30pm
The bipolar filtration of topologically slice knots

The bipolar filtration of Cochran, Harvey and Horn initiated the study of deeper structures of the smooth concordance group of the topologically slice knots. We show that the graded quotient of the bipolar filtration has infinite rank at each stage greater than one. 

To detect nontrivial elements in the quotient, the proof uses higher order amenable Cheeger-Gromov $L^2$ $\rho$-invariants and infinitely many Heegaard Floer correction term $d$-invariants simultaneously. 

This is joint work with Jae Choon Cha.

Location
Fine Hall 314
Speaker: Min Hoon Kim ,
Korea Institute For Advanced Study
November 9, 2017
4:30pm - 5:30pm
TBA - Cladius Zibrowius
Location
Fine Hall 314
Speaker: Cladius Zibrowius,
Sherbrooke University
November 30, 2017
4:30pm - 5:30pm
TBA - Raphael Zentner
Location
Fine Hall 314
Speaker: Raphael Zentner,
University of Regensburg (Germany)
December 7, 2017
4:30pm - 5:30pm
TBA - Aliakbar Daemi
Location
Fine Hall 314
Speaker: Aliakbar Daemi,
SCGP
December 14, 2017
4:30pm - 5:30pm
TBA - Tye Lidman
Location
Fine Hall 314
Speaker: Tye Lidman,
North Carolina State University