Carissimi,
mi scuso per il ritardo dell'avviso e vi ricordo il seminario di oggi
pomeriggio.
Cari saluti,
Filippo
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Giovedì 30 aprile, ore 16:00-17:00
Sala Riunioni
Lewis Topley (Università di Padova)
Titolo:
Small representations for reduced enveloping algebras
Abstract:
Although the ordinary representation theory of Lie algebras is extremely
well developed, progress has been much slower in the modular case. A
breakthrough was made twenty years ago when Premet proved a long-standing
conjecture bounding the dimensions of modules. His techniques led to the
discovery of finite W-algebras, and the latter theory has recently
culminated in another milestone, showing that the bound mentioned before is
best possible. I shall review the development of this theory and discuss
some very recent results of mine regarding the structure theory of certain
modular finite W-algebras
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Il programma completo dei seminari si trova alla pagina:
http://www.dm.unipi.it/~gaiffi/homepageseminario/
Sulla pagina è anche possibile scaricare le slides dei precedenti seminari.
Carissimi,
riprendono dopo la lunga pausa i seminari di Algebra, Topologia e
Combinatoria. Trovate di seguito l'avviso per l'appuntamento di questa
settimana.
Cari saluti,
Filippo
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Giovedì 16 aprile, ore 16:00-18:00
Sala Riunioni
Benjamin Collas (Bayreuth Universität)
Titolo:
Arithmetic of inertia in braids groups and Grothendieck-Teichmüller theory.
Abstract:
Following Grothendieck's "Esquisse d'un programme",
Grothendieck-Teichmüller theory is the study of the absolute Galois group
of rational through combinatorial properties of the moduli spaces of curves
M_{g,n}. Originally developed by Drinfel'd and Ihara in the context of
quantum groups and arithmetic geometry, it is guided by the existence a
certain stratification of the space which then translates in term of
inertia when considered from the fundamental group point of view.
We will present the main ideas of a Grothendieck-Teichmüller theory by
considering first the case of curves of genus zero and its relation with
the Artin braid groups -- all the needed notions will be given in detail
within the case of M_{0,4}. By then considering the Artin braid groups as
a special case of generalized braid groups, we will explain how these ideas
can be adapted, and may lead to a similar ``Grothendieck-Dynkin'' theory,
when studying the geometry of the wonderful model compactification of
hyperplane arrangements.
Il seminario sarà diviso in due parti di 45' ciascuna.
La prima parte del seminario sarà introduttiva e comprensibile a studenti
di dottorato o laurea specialistica in matematica.
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Prossimi seminari:
Giovedì 30 Aprile 2015, ore 16:00-18:00
Sala Riunioni
Lewis Topley (Università di Padova)
TBA
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Il programma completo dei seminari si trova alla pagina:
http://www.dm.unipi.it/~gaiffi/homepageseminario/
Sulla pagina è anche possibile scaricare le slides dei precedenti seminari.