Cari tutti,

Mercoledì 08 Marzo alle 16:00 presso l'Aula Magna del dipartimento di matematica di Pisa si terrà il Seminario dei Baby-Geometri di Carlo Collari (Università di Firenze) dal titolo:

"On a Bennequin-type inequality"

di cui riporto l'abstract:

"Let k be a knot (i.e. an embedding of $\mathbb{S}^1$ into $\mathbb{S}^3$). Once $\mathbb{S}^3$ is seen as the boundary of $\mathbb{D}^4$, one can ask which kind of (properly) embedded surfaces in $\mathbb{D}^4$ have k as boundary. Finding the minimal genus of such a surfaces (called slice genus) is a central topic in low dimensional topology.

In this talk I wish to describe some inequalities, arising from contact topology and quantum homologies. These inequalities, called Bennequin-type inequalities, can be used to estimate the slice genus of a knot in term of other invariants.

The seminar will be organized as follows; first, I will give a brief overview of the history of this problem, and indicate some motivations to study it. Then, I will describe some known results that may help to determine the slice genus of a knot. In doing so, I will introduce some basic contact topology. Finally, I will describe how we can use some ''contact'' knot invariant to estimate the slice genus."

Tutti gli interessati sono invitati a partecipare.

Per saperne di più sui prossimi seminari scrivete ad uno degli organizzatori o consultate le pagine:

http://blog.phc.unipi.it/babygeometri/ http://gecogedi.dimai.unifi.it/seminars/ Mailing-list: babygeom@poisson.phc.unipi.it

Saluti,

Carlo Collari, Marco Moraschini e Nicoletta Tardini