Carissimi,
volevo avvisarvi (e, come sempre, mi scuso per
eventuali avvisi multipli) del seguente seminario
di Analisi Complessa che si terra' settimana prossima:
MERCOLEDI' 27 GIUGNO 2012
14:30-15:30, Sala Conferenze (Puteano, Centro De Giorgi)
Dror Varolin
Stony Brook University, New York
"L^2 Extension of dbar-closed forms from a smooth complex hypersurface"
Abstract: The L^2 extension of holomorphic functions and holomorphic sections of holomorphic line bundles has been proved in numerous contexts by a number of people, starting with Ohsawa and Takegoshi. The corresponding result for dbar-closed forms of bidegree (0,q) for q > 0 has been open for a long time. For one thing, there are two natural possible meanings for extension of (0,q)-forms from a hypersurface: the first (which we call `intrinsic' is that the pullback of the extension by the natural inclusion is specified, while the second (which we call `ambient') is that the restriction of the (0,q)-form in the ambient space is specified; in the ambient
case one has to say what it means to be the restriction of a dbar-closed form.
The extension result (without specification of the type of extension) was claimed by Manivel, but his proof contained a gap which was pointed out by Demailly. Koziarz proved that it is possible to carry out intrinsic extension (0,q) cohomology classes, but the estimates he obtained are not sufficient for many applications. Very recently, Berndtsson established the intrinsic extension theorem for q>0 and with good estimates, under the assumption that the underlying manifold is compact.
In this talk, I will describe joint work with Jeff McNeal in which we establish both kinds of extension theorems for dbar-closed (0,q)-forms from a smooth complex hypersurface in a Stein manifold.
Ciao,
Marco
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Marco Abate Tel: +39/050/2213.230
Dipartimento di Matematica Fax: +39/050/2213.224
Universita' di Pisa
Largo Pontecorvo 5 E-mail: abate(a)dm.unipi.it
56127 Pisa
Italy Web: www.dm.unipi.it/~abate/
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buondi',
Il mini-corso sugli invarianti quantistici continua mercoledi prossimo.
Alcuni di noi ieri hanno chiesto a Francois anche un seminario avanzato
"informale" (indipendente dal corso), e lo abbiamo fissato per oggi alle
14.30. Mi scuso per lo scarsissimo preavviso.
GIOVEDI' 14 GIUGNO 2012
SEMINARI DI GEOMETRIA
14:30-16:00, Sala Riunioni (Dip. Matematica)
Nilpotent Reshetikhin-Turaev invariants of 3-manifolds
Francesco Costantino (IRMA Strasbourg)
Abstract:
(Joint work with Nathan Geer and Bertrand Patureau-Mirand.)
The goal of the talk is to review the construction of non-semisimple
surgery invariants of three manifolds in the case of sl_2.
After recalling the axiomatic properties of ADO invariants of links and
their extensions to graphs we will outline the construction of the "non
semi-simple Reshetikhin-Turaev invariants" through surgery presentations
and discuss some of its key points. Attention will be payed on the key
differences with the standard case of Reshetikhin-Turaev invariants of
closed three-manifolds. In the last part of the talk we will provide
examples of topological applications of these invariants and in particular
to the study of the Volume Conjecture.
Dipartimento di Matematica
Largo Pontecorvo 5
56127 Pisa, Italy
tel: ++39 050 2213 231
cell: ++39 328 9431177
url: www.dm.unipi.it/~martelli
buondi',
nelle prossime settimane il seminario di mercoledi' pomeriggio sara'
dedicato ad un mini-corso su gruppi e invarianti quantistici, che sara'
diviso in tre seminari:
* Mercoledi 13 giugno, ore 14.30 - 16 Bertrand Patureau,
* Mercoledi 20 giugno, ore 14.30 - 16 Nathan Geer,
* Giovedi 21 giugno, ore 14.30 - 16 Francesco Costantino.
Segue l'abstract del primo seminario. Siete ovviamente tutti invitati,
Bruno Martelli
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MERCOLEDI' 13 GIUGNO 2012
SEMINARI DI GEOMETRIA
14:30-16:00, Sala Seminari (Dip. Matematica)
Hopf algebras and tensor categories
Bertrand Patureau (Université de Bretagne-Sud)
Abstract:
This is the first of three talks which will form altogether a short course
in quantum groups and quantum invariants of knots and 3-manifolds. The
second and third talk will be taken on 20/6 and 21/6 by Nathan Geer and
Francois Costantino respectively. The following abstract is a summary of
the first talk.
Reshetikhin, Turaev and Viro constructed 2+1-TQFTs from quantum groups.
Conversely, we will try to motivate the study of tensor categories with
pivotal structure from the general idea of TQFTs. These categories lead to
the definition of pivotal Hopf algebras. We will see several examples
including quantum groups
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Dipartimento di Matematica
Largo Pontecorvo 5
56127 Pisa, Italy
tel: ++39 050 2213 231
cell: ++39 328 9431177
url: www.dm.unipi.it/~martelli
