Matemale Spring School 2025
Khovanov homology and exotic phenomena
May 19-23
This year, we will study Khovanov homology and some applications to exotic phenomena. The school is designed for Master students, PhD students and researchers, younger and older. Participants are encouraged to choose a (not yet attributed) talk in the list.
The event is supported by the Réseau thématique RTop (RT2171), the Mathematics Institute of Toulouse, the CIMI, Occimath (fédération occitane de mathématiques) and the Mathematics Institute of Marseille.
Khovanov homology is an invariant of knots and links introduced by Khovanov in the 90s and widely studied since then. In particular, a variant of this homology due to Lee allowed Rasmussen to define a numerical invariant called the s-invariant. It appears, thanks to the work of several authors in the last years, that this s-invariant helps to detect exotic phenomena.
More details and references here: program.
Organizers :
Jean-François Barraud (IMT)
Thomas Fiedler (IMT)
Vincent Florens (LMAP)
Delphine Moussard (I2M)
Hoël Queffelec (IMAG)
If you are willing to participate, please contact us by email. The deadline for registration is March 31.
List of talks:
Decategorified background (Alexandra Orevkova)
Homological and categorical background (Jiaqi Fu)
Definition and invariance (Victor Pirozelli)
The geek moment
Movie moves, background (Benjamin Haïoun)
Functoriality proof (Jennifer Brown)
Spectral sequences (Sardor Yakupov)
Lee degeneration (Jorge Becerra)
Rasmussen invariant (Alexis Guerin)
Exotic R⁴’s (Edwin Kitaeff)
Kirby calculus (Lisa Lokteva)
The Conway knot is not slice (Valentina Bais)
Cobordisms (Livio Ferretti)
Group theory in the background (Gaëtan Simian)
Khovanov and exotic surfaces 1 (Alessio Di Prisa)
Khovanov and exotic surfaces 2 (Filippo Bianchi)
Talks start on Monday morning and end on Friday at noon. Accommodation is planned from Sunday evening to Friday lunch.
We will be accommodated in the Centre de vacances "La Capcinoise" (https://www.lacapcinoise.fr/). This is just for information, you don't need to make a reservation by yourself. Beware that towels and soap are not provided, and rooms are shared.
We will cover the stay of the participants, in the limit of available funding. You are supposed to have your own funding for travel expenses, but do not hesitate to contact us if you have difficulties.
List of participants:
Valentina Bais
Jorge Becerra
Filippo Bianchi
Jennifer Brown
Francesco Costantino
Adrien Currier
Alessio Di Prisa
Livio Ferretti
Thomas Fiedler
Vincent Florens
Jiaqi Fu
Alexis Guerin
Shashank Gupta
Benjamin Haïoun
Cara Hobohm
Edwin Kitaeff
Lisa Lokteva
Naageswaran Manikandan
Gregor Masbaum
Maxime Moscatelli
Delphine Moussard
Stepan Orevkov
Alexandra Orevkova
Victor Pirozelli
Hoël Queffelec
Gaëtan Simian
Simone Tagliente
Vladimir Vershinin
Sardor Yakupov
Butian Zhang