BEGIN:VCALENDAR
VERSION:2.0
PRODID:http://murmitoyen.com/events/vanille/
X-WR-TIMEZONE:America/Montreal
BEGIN:VEVENT
UID:69d6fdac1ffae
DTSTAMP:20260408T211524
DTSTART:20190901T090000
SEQUENCE:0
TRANSP:OPAQUE
DTEND:20190901T090000
URL:http://murmitoyen.com/events/vanille/detail/876320-serie-de-conferences
 -de-la-chaire-aisenstadt-ciprian-manolescu
LOCATION:Université de Montréal - Pavillon André-Aisenstadt\, 2920\, che
 min de la Tour\, Montréal\, QC\, Canada\, H3T 1N8
SUMMARY:Série de conférences de la Chaire Aisenstadt Ciprian Manolescu
DESCRIPTION:Première conférence / First Lecture
\n
\nKhovanov homology\, 
 3-manifolds\, and 4-manifolds
\n
\nKhovanov homology is an invariant of kn
 ots in R^3. A major open problem is to extend its definition to knots in o
 ther three-manifolds\, and to understand its relation to surfaces in 4-man
 ifolds. I will discuss some partial progress in these directions\, from di
 fferent perspectives (gauge theory\, representation theory\, sheaf theory)
 . In the process I will also review some of the topological applications o
 f Khovanov homology.
\nSeconde conférence / Second Lecture
\n
\nKhovanov 
 homology and surfaces in 4-manifolds
\n
\nBack in 2004\, Rasmussen extract
 ed a numerical invariant from Khovanov-Lee homology\, and used it to give 
 a new proof of Milnor’s conjecture about the slice genus of torus k
 nots. In this talk\, I will describe a generalization of Rasmussen’
 s invariant to null-homologous knots in S^1 x S^2\, and prove inequalities
  that relate it to the genus of surfaces in D^2 x S^2 and in the complex p
 rojective space. This is based on joint work with Marco Marengon\, Suchari
 t Sarkar\, and Mike Willis.
\nTroisième conférence / Third Lecture
\n
\n
 SL(2\,C) Floer homology for knots and 3-manifolds
\n
\nI will explain the 
 construction of some new homology theories for knots and three-manifolds\,
  defined using perverse sheaves on the SL(2\,C) character variety. These i
 nvariants are models for an SL(2\,C) version of Floer’s instanton h
 omology. I will present a few explicit computations for Brieskorn spheres 
 and small knots in S^3\, and discuss the connection to the Kapustin-Witten
  equations\, Khovanov homology\, skein modules\, and the A-polynomial. The
  three-manifold construction is joint work with Mohammed Abouzaid\, and th
 e one for knots is joint with Laurent Cote.
\nQuatrième conférence / For
 th Lecture
\n
\nGPV invariants and knot complements
\n
\nGukov\, Putrov an
 d Vafa predicted (from physics) the existence of some 3-manifold invariant
 s that take the form of power series with integer coefficients\, convergin
 g in the unit disk. Their radial limits at the roots of unity should recov
 er the Witten-Reshetikhin-Turaev invariants. Further\, they should admit a
  categorification\, in the spirit of Khovanov homology. Although a mathema
 tical definition of the GPV invariants is lacking\, they can be computed i
 n many cases. In this talk I will discuss what is known about the GPV inva
 riants\, and their behavior with respect to Dehn surgery. The surgery form
 ula involves associating to a knot a two-variable series\, obtained by par
 ametric resurgence from the asymptotic expansion of the colored Jones poly
 nomial. This is based on joint work with Sergei Gukov.
END:VEVENT
BEGIN:VTIMEZONE
TZID:America/Montreal
X-LIC-LOCATION:America/Montreal
END:VTIMEZONE
END:VCALENDAR