January 8 |
Elisa Lorenzo-Garcia (University of Leiden) Let C be a smooth, absolutely irreducible genus 3 curve over a number field M. Suppose that the Jacobian of C has complex multiplication by a sextic CM-field K. Suppose further that K contains no imaginary quadratic subfield. We give a bound on the primes p of M such that the stable reduction of C at p contains three irreducible components of genus 1. |
January 15 |
Djordjo Milovic (Leiden) |
January 22 |
Peter Stevenhagen (Leiden) |
January 29 |
Grzegorz Banaszak (Adam Mickiewicz U. and UCSD) |
February 5 |
Danny Neftin (University of Michigan) |
March 19 |
Mona Merling (Johns Hopkins University) The algebraic K theory space K(R) is defined as a topological group completion, which on \pi_0 is just the usual algebraic group completion of a monoid which yields K_0(R). Amazingly, it turns out that this space not only has a multiplication on it which is associative and commutative up to
homotopy, but it is an infinite loop space. This means that it represents
a spectrum (the stable analogue of a space), and therefore a cohomology
theory. We construct equivariant algebraic K-theory for G-rings. However,
spectra with G-action (called naive G-spectra) are not robust enough for
stable homotopy theory, and the objects of study in equivariant stable
homotopy theory are genuine G-spectra, which correspond to cohomology
theories graded on representations. |