Models for spaces of rational maps. Abstract For an algebraic group G and a projective curve X, we study the category of D-modules on the moduli space Bung of principal G-bundles on X using ideas from conformal field theory. This implies the statement in the more general setting considered at the seminar when the target variety is connected and locally isomorphic to an affine space. All the necessary background will be provided. Abstract This is an introduction to a series of talks of Nick Rosenblum on his foundational work with Dennis Gaitsgory that establishes the basic D-module functoriality in the context of derived algebraic geometry hence for arbitrary singular algebraic varieties over a field of characteristic 0.

Thu, 11 Oct Beilinson’s talk is intended to be a kind of introduction to those by Rozenblyum. The category of D-modules is defined as sheaves in the deRham stack. Mon, 24 Sep Thu, 18 Oct

# Nick rozenblyum thesis

Thu, 15 Nov So we have plenty of time to think about Nick’s talks! Sun, 30 Sep JavaScript is disabled for your browser. All the necessary background will be provided. Mon, 8 Oct No previous knowledge of the above subjects is needed. Abstract For an algebraic group G and a projective curve X, we study the category of D-modules on the moduli space Bung of principal G-bundles on X using ideas from conformal field theory.

This is an archive of email messages concerning the Geometric Langlands Seminar for I will begin with an overview of Grothendieck-Serre duality in derived algebraic geometry via the formalism of ind-coherent sheaves.

Wed, 17 Oct Collections Mathematics – Ph. Connections on conformal blocks Author s Rozenblyum, Nikita. The scientific name for this is “Weil restriction of scalars”.

An analysis of Lusztig’s construction and of the Lubin-Tate tower of K leads to interesting new varieties that provide an analogue of Deligne-Lusztig tjesis for certain families of unipotent groups over finite fields. Already in Lusztig proposed a very elegant, but still conjectural, geometric construction of twisted parabolic induction for unramified maximal tori in arbitrary reductive p-adic groups.

# Connections on conformal blocks

See provided URL for inquiries about permission. Crystals, D-modules, and derived algebraic geometry. Thu, 4 Oct Mon, 24 Sep Thu, 8 Nov Models for spaces of rational maps.

D-modules in infinite type. I make there two additional assumptions, which are not really necessary: Thu, 18 Oct Thu, 11 Oct I will discuss the notion of crystals and de Rham coefficients that goes back to Grothendieck, the derived Rrozenblyum functoriality for smooth varieties due to Bernstein and Kashiwaraand some basic ideas of the Gaitsgory-Rosenblum theory.

## Nick rozenblyum thesis –

One uses here the following fact: Abstract This is an introduction to a series of talks of Nick Rosenblum on his foundational work with Dennis Gaitsgory that establishes the basic D-module functoriality in the context of derived algebraic geometry hence for arbitrary singular algebraic varieties over a field of characteristic 0.

Download Full printable version 3.

It is a convenient formulation of Gorthendieck’s theory of crystals in characteristic 0. This immediately implies the statement for any finite extension of K. Publisher Massachusetts Institute of Technology.

Other Contributors Massachusetts Institute of Technology. The theory of D-modules will be built as an extension of this theory.