The 35th Annual
Workshop in Geometric Topology
Calvin College, Grand Rapids, Michigan
The featured speaker is Professor András Stipsicz of the Alfréd Rényi Institute of Mathematics in Budapest, Hungary. He will give a series of three one-hour lectures on Invariants of Knots and Links.
Participants are invited to contribute talks; time will be allotted each day for 20-minute talks by participants. Abstracts may be entered on the registration form or sent directly to G. Venema (send email).
Financial support, provided by the National Science Foundation, will be available to cover partial travel and living expenses of participants who do not have other funding for their research. Such support can be requested on the registration form. Requests for support must be received by May 1, 2018. Graduate students and recent PhDs in geometric topology are especially encouraged to apply.
The workshop is supported by a grant from the National Science Foundation.
We plan to review definitions of the Alexander polynomial using Kauffman states and grid diagrams. These approaches then lead to knot Floer homology; we sketch the definition of these groups.
Lecture 2: Knot Floer homology
We define knot Floer groups through grid diagrams, verify their main properties and apply these tools in solving some geometric problems, including the Milnor conjecture for torus knots.
Lecture 3: The Upsilon function of knots
Applying the appropriate version of knot Floer homology and some ideas from homological algebra, a function-valued knot invariant can be derived. This function can be conveniently used in the study of the smooth concordance group. We show some illustrative examples of such results.
Fredric Ancel, University of Wisconsin-Milwaukee
Greg Friedman, Texas Christian University
Craig Guilbault, University of Wisconsin-Milwaukee
Molly Moran, Colorado College
Eric Swenson, Brigham Young University
Frederick Tinsley, Colorado College
Nathan Sunukjian, Calvin College
Gerard Venema, Calvin College
Contact Gerard Venema (send email to Gerard) or Nathan Sunukjian (send email to Nathan) if you have questions about the workshop or comments on this web site.