Embedded Contact Homology learning seminar (Spring 2020)


The time and place for the seminar will be Thursdays at 3-4pm in room 304 in Hamilton Hall.

If you want to be in the mailing list for this seminar then contact the organizer, Juan Muñoz (juanmunoz@math.columbia.edu).




(a) Hutchings, Lecture notes on ECH

(b) Cristofaro-Gardiner, Hutchings, From one Reeb orbit to two

(c) Cristofaro-Gardiner, Hutchings, Pormeleano , Torsion contact forms in three dimensions have two or infinitely many Reeb orbits

(d) Taubes, Embedded contact homology and Seiberg-Witten Floer cohomology I-V

(e) Irie, Dense existence of periodic Reeb orbits and ECH spectral invariants





Rough plan of talks


February 20th  Aleksander Doan The Gromov invariant    
February 27th Kyler Siegel SW = Gr, Part 1    
March 5th Kyler Siegel  SW = Gr, Part 2    
March 12th Juan Muñoz Gromov invariant for the mapping torus    
March 26th Lea Kennigsberg ECH 2 : the ECH index    
April 2nd Yash Deshmukh ECH 3 : examples    
April 9th TBA ECH = SW Floer homology    
April 16th Semon Rezchikov Volume asymptotics    
April 23rd TBA ECH capacities and symplectic embeddings    
April 30rd TBA From 1 to 2 Reeb orbits    
May 7th TBA 2 or infinitely many Reeb orbits    
May 14th TBA TBA    
May 21st TBA TBA