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Seminars (NSTW03)

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Event When Speaker Title
NSTW03 30th September 2002
10:00 to 11:00
Zeta elements and modular forms
shall explain the construction of `zeta elements' in K_k of Kuga-Sato varieties which form an Euler system, related via the dual exponential to critical L-values of weight k cusp forms, and via the regulator to non-critical values.
NSTW03 30th September 2002
11:30 to 12:30
${\bf G}_{a}$, motives, polylogarithms etc
NSTW03 30th September 2002
14:00 to 15:00
C Soule Bounds on the torsion in the K-theory of algebraic integers
Given a natural integer $m$ and a number field $F$ we find an upper bound for the cardinality of the torsion in $K_{m}(A)$, where $A$ is the ring of integers of $F$. The bound depends on $m$, the absolute degree of $F$ and its absolute discriminant. This bound seems much too big but it is explicit.
NSTW03 30th September 2002
15:30 to 16:30
Noncommutative Iwasawa Theory
NSTW03 1st October 2002
10:00 to 11:00
Stark's conjecture and new Stickelberger phenomena
NSTW03 1st October 2002
11:30 to 12:30
I Fesenko Analysis on arithmetic surfaces
A new kind of measure matching properties of two-dimensional structures on arithmetic surfaces is used to define zeta integrals on $K$-delic groups and to study its properties.
NSTW03 1st October 2002
14:00 to 15:00
Z Wojtkoviak l-adic polylogarithms
NSTW03 1st October 2002
15:30 to 16:30
C Pedrini Finite-dimensional motives and the Beilinson-Bloch conjectures
NSTW03 2nd October 2002
10:00 to 11:00
de Rham discriminants
NSTW03 2nd October 2002
11:30 to 12:30
Analogue of the Grothendieck conjecture for higher dimensional local fields
NSTW03 3rd October 2002
10:00 to 11:00
S Lichtenbaum Weil \'{e}tale cohomology
NSTW03 3rd October 2002
11:30 to 12:30
On equivariant Tamagawa numbers, Weil \'{e}tale cohomology and values of L-functions
We show that, in certain cases, Lichtenbaum's Weil-Etale cohomology leads to a more explicit interpretation of the (equivariant) Tamagawa number conjecture. We then use this interpretation to formulate, and in certain cases also prove, a universal refinement of the well known (and seemingly rather different) conjectures of Stark, of Gross, of Tate, of Rubin and of Darmon concerning the values of derivatives of abelian L-functions.
NSTW03 3rd October 2002
14:00 to 15:00
Weil \'{e}tale motivic cohomology over finite fields
NSTW03 3rd October 2002
15:30 to 16:30
Rational and numerical equivalence on certain abelian varieties over finite fields
NSTW03 4th October 2002
10:00 to 11:00
U Jannsen Kato complexes: conjectures and results
For rather general schemes Kato defined complexes which are Galois cohomology analogues of the Gersten complexes in K-theory (Crelle 366: `A Hasse principle for 2-dimensional local fields'). He stated some conjectures and proved them in low dimensions. I will report on the results known so far (partly due to myself) and some relationships with étale dulaity (recent joint work with Saito and Sato).
NSTW03 4th October 2002
11:30 to 12:30
Relative K-groups and class field theory of arithmetic surfaces
NSTW03 4th October 2002
14:00 to 15:00
$K_{4}$ of curves and syntomic regulators
NSTW03 4th October 2002
15:30 to 16:30
K-theory and classical conjectures in the arithmetic of cyclotomic fields
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons