Speakers Schedule Titles of talks Abstracts
Speakers
P. Colmez  J. Heinloth  B. C. Ngô 
J.F. Dat  G. Henniart  G. Pappas 
G. Faltings  M. Kisin  M. Reineke 
L. Fargues  R. Kottwitz  E. Viehmann 
T. Haines  S. Kudla  J.L. Waldspurger 
M. Harris  L. Lafforgue  T. Yoshida 
U. Hartl  G. Laumon  Th. Zink 
Schedule
Sun, Oct 5  Mon, Oct. 6  Tue, Oct. 7  Wed, Oct 8  Thu, Oct 9  Fri, Oct 10  

8:009:00

Registration

Registration


9:0010:00

Colmez

Hartl

Ngô

Dat

Henniart


10:0010:30

Coffee

Coffee

Coffee

Coffee

Coffee


10:3011:30

Waldspurger

Kottwitz

Reineke

Lafforgue

Fargues


11:4512:45

Viehmann

Pappas

Kudla

Haines

Laumon


14:30  15:30
Registration

14:30 Boat trip 

15:0015:30

Coffee

Registration/Coffee

Coffee


15:3016:30

Heinloth

Faltings

Yoshida

15:10  Excursion to Cologne 

16:4517:45

17:00  20:00 Registration Wegelerstr. 10 
Zink

Harris

Kisin


17:4518:15
Registration


19:00 h Banquet 
Titles of the talks
06.10.
9:00  Pierre Colmez  On the padic local Langlands correspondence for GL2(Qp) 
10:30  JeanLoup Waldspurger  An integral formula related to the local GrossPrasad conjecture 
11:45  Eva Viehmann  Generalized affine Springer fibres associated to nonequivalued root valuation strata 
15:30  Jochen Heinloth  On moduli spaces of Gbundles and their cohomology 
16:45  Thomas Zink  A de RhamWitt complex for rigid cohomology 
07.10.
9:00  Urs Hartl  The Newton stratification on deformations of local shtuka 
10:30  Guy Henniart  Clifford Theory for reductive padic groups 
11:45  George Pappas  Phimodules and coefficient spaces for Galois representations 
15:30  Gerd Faltings  The isomorphism between Drinfeld's and LubinTate's tower 
16:45  Michael Harris  Functoriality and construction of automorphic Galois representations 
08.10.
9:00  Bao Châu Ngô  The support of simple perverse sheaves in the decomposition theorem 
10:30  Markus Reineke  Moduli spaces of representations of quivers 
11:45  Stephen Kudla  Arithmetic cycles for unitary groups 
09.10.
9:00  JeanFrançois Dat  Looking for a geometric interpretation of the (mod l) local Langlands correspondence 
10:30  Laurent Lafforgue  Trying to build a kernel for functoriality: the case of unramified automorphic induction from GL(1) to GL(2) 
11:45  Thomas Haines  Shimura varieties with Gamma_1(p)level structure and Hecke algebra isomorphisms 
15:30  Teruyoshi Yoshida  Remarks on LubinTate theory 
16:45  Mark Kisin  Shimura varieties mod p 
10.10.
9:00  Robert Kottwitz  Dimensions and nonemptiness of affine DeligneLusztig varieties 
10:30  Laurent Fargues  The padic geometry of moduli spaces of abelian varieties and pdivisible groups 
11:45  Gérard Laumon  The weighted fundamental lemma 
Abstracts
JeanFrançois Dat: Looking for a geometric interpretation of the (mod l) local Langlands correspondence
The ladic or complex local Langlands correspondence is characterized by matching of Lfunctions and epsilon factors. Vigneras has established a Langlandstype correspondence for mod l representations. Although Lfunctions and epsilon factors have been defined for such representations, they are too coarse invariants for the purpose of characterizing such a correspondence. In this talk we will prospect a geometriccohomological interpretation of (some special cases) of the correspondence, using Drinfeld's spaces and their similarities with DeligneLusztig varieties.
Gerd Faltings: The isomorphism between Drinfeld's and LubinTate's tower
The isomorphism between the two towers extends to other coverings of period domains. We explain the construction of such an isomorphism.
Laurent Fargues: The padic geometry of moduli spaces of abelian varieties and pdivisible groups
We first define and study an Hecke equivariant cellular parametrization by BruhatTits buildings of the padic Berkovich spaces associated to the LubinTate tower. We extend this to a parametrization by compactifications of those buildings of the whole unitary type with signature (1,n1) Shimura varieties. We will then present a HarderNarasimhan type theory that allows us to give such parametrizations for all Shimura varieties and moduli spaces of pdivisible groups.
Thomas Haines: Shimura varieties with Gamma_1(p)level structure and Hecke algebra isomorphisms
This talk will discuss a program to study the reduction modulo p of Shimura varieties with Gamma_1(p)level structure by relating them to Shimura varieties with Iwahori level structure. One ingredient is a base change fundamental lemma for central elements in the Hecke algebra associated to a type of the form (I,chi) (here chi is a character on an Iwahori subgroup I which is trivial on the prounipotent radical of I). This is joint work in progress with Michael Rapoport.
Urs Hartl: The Newton stratification on deformations of local shtuka
(joint work with Eva Viehmann) Bounded local shtuka are function field analogs for pdivisible groups. We describe their deformations and moduli spaces. The latter are analogous to RapoportZink spaces for pdivisible groups. The underlying schemes of these moduli spaces are affine DeligneLusztig varieties. For basic Newton polygons the closed Newton stratum in the universal deformation of a local shtuka is isomorphic to the completion at the corresponding point of the affine DeligneLusztig variety. This yields bounds on the dimension and proves equidimensionality of the basic affine DeligneLusztig varieties.
Jochen Heinloth: On moduli spaces of Gbundles and their cohomology
This is a report on work on the geometry of moduli spaces of torsors under nonconstant group schemes on curves. The basic geometric invariants of these spaces have been conjectured by Pappas and Rapoport. I’d like to explain how the more general setup helps to shorten the computation of these invariants and indicate that these results also suggest what the structure of the cohomology of these spaces should be.
Guy Henniart: Clifford Theory for reductive padic groups
(Joint work in progress with C. J. Bushnell): Let F be a padic field. The absolute Galois group G_F of F has a distinguished prop subgroup, the wild ramification subgroup P_F. Clifford Theory relates the irreducible representations of G_F to those of P_F. Via the Langlands correspondence, this can be conjecturally transferred, for a reductive group H over F, to a relation between irreducible smooth representations of G, and simple characters in the sense of BushnellKutzko. We shall state results for H=GL(N,F), and speculations for classical groups over F.
Mark Kisin: Shimura varieties mod p
I will report on some recent progress on a conjecture of LanglandsRapoport, describing the mod p points of a Shimura variety.
Robert Kottwitz: Dimensions and nonemptiness of affine DeligneLusztig varieties
The talk will report on joint work of GoertzHainesKottwitzReuman on dimensions and nonemptiness of affine DeligneLusztig varieties in the affine flag manifold and will also review some of the other facts known about affine DeligneLusztig varieties.
Stephen Kudla: Arithmetic cycles for unitary groups
In this talk I will discuss recent joint work with Rapoport on arithmetic cycles for Shimura varieties associated to U(n1,1). In particular, we establish a relation between the arithmetic degree of certain 0cycles and the nonsingular, nondegenerate, Fourier coefficients of the derivatives of certain incoherent Eisenstein series on U(n,n).
Eva Viehmann: Generalized affine Springer fibres associated to nonequivalued root valuation strata
(joint work with R. Kottwitz) For a given (possibly nonequivalued) root valuation datum we define and study a new kind of associated generalized affine Springer fibres. They are nonempty exactly over the closure of the given root valuation stratum and define interesting coverings of the given stratum.
JeanLoup Waldspurger: An integral formula related to the local GrossPrasad conjecture
Teruyoshi Yoshida: Remarks on LubinTate theory
We treat a rather simple proof of local class field theory using LubinTate theory, by showing the base change property directly from the LubinTate construction.
Thomas Zink: A de RhamWitt complex for rigid cohomology
Let $X$ be a smooth scheme over a perfect field $k$ of characteristic $p > 0$. We define a subcomplex of the de RhamWitt complex of $X/k$ by a certain convergence condition. The hypercohomology of this subcomplex of Zariski sheaves on $X$ tensored with $\mathbb{Q}$ is the rigid cohomology of $X$. This is joint work with Andreas Langer and Christopher Davis.