Topology Reading Group Fall 2019
Time: 2PM to 3PM on Thursdays
Location: Maloney 558
Our goal for this informal seminar is to have a place to share what you're learning about with other topology graduate students. Interested in speaking? Email me!
September 12th: Gage Martin
Title: Annular Rasmussen invariants: Properties and 3-braid classification
References: Annular Khovanov-Lee homology, braids, and cobordisms, J. Elisenda Grigsby, Anthony M. Licata, Stephan M. Wehrli
Notes on the knot concordance invariant Upsilon, Charles Livingston
September 19th: Gage Martin
Title: Link Splitting and Khovanov Homology
References: A Link Splitting Spectral Sequence in Khovanov Homology, Joshua Batson, Cotton Seed
Khovanov module and the detection of unlinks, Matthew Hedden, Yi Ni
Annular Khovanov homology and knotted Schur-Weyl representations, J. Elisenda Grigsby, Anthony M. Licata, Stephan M. Wehrli
September 26th: Clayton McDonald
Title: Doubly slice odd pretzel knots
References: Doubly slice odd pretzel knots, Clayton McDonald
Smoothly embedding Seifert fibered spaces in S^4, Ahmad Issa, Duncan McCoy
October 3rd: Patrick Orson
Title: Doubly slice knots and metabelian invariants
October 10th: Carson Rogers
Title: A finiteness result for cosmetic crossing changes
References:
https://math.temple.edu/~dfuter/research/EffectiveBilipschitz.pdf
https://projecteuclid.org/euclid.jdg/1214424971
October 17th: Adam Saltz
The topology of spaces of Morse functions
References:
Milnor's Morse Theory
K. Igusa, "The Space of Framed Functions"
A. Kupers, "Three Applications of Delooping to h-Principles"
October 24th: Mustafa Cengiz
Title: Heegaard Genus and the Complexity of Fibered Knots
References:
Complexity of open book decompositions via arc complex, T. Saito, R. Yamamato.
Heegaard splittings and open books, J. Johnson.
Reducing Heegaard splittings, A.J. Casson, C.McA. Gordon.
Surface bundles versus Heegaard splittings, D. Bachman, S. Schleimer.
October 31st: James Cornish
Title: Growth of Heegaard Floer Homology in Branched Covers
November 7th: Marius Huber
Title: The intersection pairing on the K3-surface
References: Gompf-Stipsicz, 4-Manifolds and Kirby Calculus
November 14th: Ethan Farber
Title: So you want to do topological dynamics
November 21st: Gage Martin
Title: Khovanov homology detects the Hopf link
December 5th: Fraser Binns
Title: Embedded Contact Homology
References: Michael Hutchings, Lecture notes on embedded contact homology
Vincent Colin, Paolo Ghiggini and Ko Honda, HF=ECH via open book decompositions: A summary
December 12th: Siddhi Krishna
Title: fibered knots, trefoils, and plumbings
Abstract: I will survey my favorite construction of fibered knots (plumbing). Then, I'll tell you about some results of Baader and Dehorney, who prove some cute results about positive braids.