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*Nottingham seminar on structures in higher arithmetic and related areas
*

#### December 6 2003

11.30-12.45
Higher dimensional local fields (Daniel Evans)
14.30-15.45
Kawada-Satake-Parshin's approach to higher local class field theory
in positive characteristic (Jakob Stix)
16.00-17.00
Differential forms and Milnor K-groups (Daniel Evans)

#### December 17 2003

12.00-13.15
Kato's higher local class field theory (Kanetomo Sato)

14.45-16.15
Explicit higher local class field theory (Ivan Fesenko)

16.45-18.00
Adelic spaces in positive characteristic and applications (Jakob Stix)

#### January 14 2004

12.00-13.15
Parshin's local-global class field theory in positive characteristic (Jakob Stix)

14.45-15.45
Class field theory of two dimensional local rings (Pierre Matsumi)
17.00-18.15
Unramified class field theory for curves over local fields (Kanetomo Sato)

#### January 23 2004

12.00-13.50
Unramified class field theory in dimension two (Kanetomo Sato)
16.00-17.50
Global class field theory in dimension two (Pierre Matsumi)
17.50-18.30
Links between higher class field theory
and arithmetic of elliptic curves over global fields
via a two dimensional
zeta integral (Ivan Fesenko)

#### April 27 2004

9.30-10.30 Higher class field theory,
explicit reciprocity formulas and zeta function of
elliptic curves I (Kazuya Kato)
10.45-12.00 Higher class field theory,
explicit reciprocity formulas and zeta function of
elliptic curves II (Kazuya Kato)
14.00-15.30 Higher class field theory
of varieties over local fields I (Shuji Saito)

#### April 30 2004

9.30-11.00
Higher class field theory of varieties over local fields II
(Shuji Saito)
14.00-16.00
Higher class field theory, explicit reciprocity formulas
and zeta function of
elliptic curves III (Kazuya Kato)

#### May 1 2004

11.30-12.30
Motivic cohomology and cycle class map for semistable schemes
over integer rings
(Shuji Saito)
16.00-17.00
An approach to higher ramification theory of schemes (Kazuya Kato)

#### August 25-27 2004

Lectures of
Henri Kim
on automorphic functions and analytic aspects of the Langlands correspondence

August 25, 10.20-12.00
Langlands functoriality conjecture

August 26, 10.20-12.00
Automorphic L-functions and Langlands-Shahidi method

August 27, 10.20-12.00
Functoriality of symmetric cube and symmetric fourth power
of cuspidal representations on GL(2)

#### May 11-12 2005

7 hour lectures of David Kazhdan
on
representation theory over two dimensional local fields
using integral structures of rank 1

(joint work with D Gaitsgory)

The category of pro-representations of 2-dimensional groups, admissibility
The Schwartz "space", and the definition of the induction
The representation induced from the radical of the "Iwahori" subgroup
Ireducibility of representations induced from the cuspidal ones (for G=SL(2))
The functor of 1/2-infinite coinvariants and its applications
Induction via moduli stack of bundles
Semi-global picture and the Hecke algebra
Model theoretic intepretation of the translation invariant
measure on two dimensional local fields Q_p((t))

(joint work with E Hrushovski)

#### May 25 2005

Kyu-Hwan Lee (Toronto)

Representation theory
of algebraic groups over 2-dimensional local fields,
using integral structures of rank 2 and translation invariant measure

(joint work with H Kim)

#### July 13 2005

Goetz Wiesend (Essen)

A new approach to unramified higher class field theory of arithmetic schemes

#### September 7 2006

Caucher Birkar (Nottingham/Cambridge)

Existence of minimal models and flips

#### November 7 2006

Luc Illusie (Paris)

Logarithmic geometry : historical glimpses, basics, and a survey of some devolopments

#### December 5 2007

Matthew Morrow (Nottingham)

Integration on two-dimensional local fields

#### December 2007 -January 2008

Ivan Fesenko (Nottingham)

Series of lectures on two-dimensional adelic analysis

#### April 16 2008

Go Yamashita (Nottingham/Kyoto)

p-adic Hodge theory for open varieties

#### August 14 2008

Masatoshi Suzuki (Tokyo)

On duality between 2d adelic analysis and GL(2) cuspidal automorphic zeta integrals

#### August 25-29 2008

Dennis Gaitsgory (Harvard)

14 hours of lectures on Quantum geometric Langlands correspondence

#### October 29 2008

Igor Zhukov (St Petersburg)

On higher ramification theory

#### May 6 2009

Liang Xiao (MIT/Chicago)

Higher ramification theory and p-adic differential modules

#### August 30-31 2009

Akio Tamagawa (RIMS, Kyoto)

On l-adic representation of fundamental groups of curves over finitely generated fields

On anabelian geometry of curves over finite fields and p-adic fields

A finiteness conjecture for abelian varieties over number fields

#### September 30 2009

Alexander Schmidt (Regensburg)

Covering data and higher dimensional class field theory

#### October 28 2009

Pierre Matsumi (Nottingham/Tokyo)

Modular curves and class field theory for varieties over local fields

#### January-May 2010

Internal seminar on higher adeles and adelic analysis

#### March 17 2010

Andreas Holmstrom (Cambridge)

Higher arithmetic Chow groups and special values of zeta functions

#### October 2010-June 2011

Seminar on on adeles, class field theory and zeta integrals, in dim 1 and 2

#### March 2 2011

Luigi Previdi (Yale/Paris)

Partically abelian categories and 2-Tate spaces

#### April 8 2011

Oliver Braunling (Nottingham)

2-dimensional ideles with cycle module coefficients

#### June 1 2011

Philippe Lebacque (Besancon)

Zeta functions in families

#### September-October 2011

Alex Paulin (Nottingham)

12 hours of lectures on aspects of geometric L correspondence

#### November 2011

Luigi Previdi (Nottingham)

12 hours of lectures on categorical theory and applications to number theory

#### 14 November 2011

Alex Paulin (Nottingham), Kobi Kremnizer (Oxford)

Geometric L correspondence day