Explicit class field theory in function fields - Harvard Math DepartmentJul 2, 2017 ... For an integer d ? 1, we let S(d) be the set of primes p such that there exists .....
on a group scheme must be a two torsion point [Parent, 2000, Lem 1.7 ] .... For a
ring B consider the map of B[[?1,...,?d]]-modules .... By a theorem of Manin and
Drinfeld the image of this map is ...... Families of elliptic curves over.hep-th - IHESJul 1, 2008 ... 4.2 The theory of rank-one Drinfeld modules . ... 2), there exists a family of larger
fields containing F and ... a similar, but simpler, setting in which to test and verify
these conjectures. ... Hence the primes in the function field C[T] correspond to
points of C. A more ...... kp is the restriction to A of a twisting of sgn.Download book PDF - Springer LinkJun 9, 2016 ... Drinfeld theorems [46]?tend not to be, and are here presented in a compact ...
3The Yangian represents one member of the family of quantum ..... Let us point
out that the main source for these lecture notes is the ...... rab(u1,u2)rcd(u1,u2)[ta,
tc] ? [tb,td]+[r(u1,u2), 1 ? h(u2)] + ?u2 r(u1,u2)=0, ...... modules:46.THE VERLINDE FORMULA FOR HIGGS BUNDLES1. Algebraic Stacks Whose Number of Points over Finite Fields ..... curves on the
one hand and Drinfeld modules on the other hand. ... As a test case, we compare
the theory of crystals over Fp with the theory of ... first is a rationality proof for L-
functions that can be attached to families of t-motives .... torsion points of ? is ?[v.scuola di dottorato in scienze matematiche dipartimento di ...Aug 8, 2016 ... using the family index theorem as follows. Let x? be the generator of H2(?),
Poincare dual to the point x, e.g. x? ?[?] = 1. ch(?R) = Td(?) ...2012 Selected Publications - Pacific Institute for the Mathematical ...Rational families of 17-torsion points of elliptic curves over number fields. 81 ......
modules de courbes elliptiques? (modular functions of one variable, ii (Proc.
Internat. Sum- ...... By a theorem of Manin and Drinfeld the image of this map is
contained in. H1(XH(C), Q). ...... such that tc = ra ? a and td = rb + b . The fact that
a ,b ...Mathematisches Forschungsinstitut Oberwolfach ... - ResearchGate1. Abdallah, N.B., Mellet A. and Puel, M. Anomalous diffusion limit for kinetic
equations with ..... Ghioca, D. and Hsia, L. Torsion points in families of Drinfeld
modules. Submitted. (2012) ... and space complexity of randomized Test-. And-
Set.Seminars 2003/2004 // Mathematisches Institut, Georg-August ...Spinal open books and algebraic torsion in contact 3-manifolds ........ 36 .... From
this point of view, one would like to find the least genus surface in which .....
gradient on Y , while bifurcations of generic 1-parameter families of gradients cor-
..... belongs to the Drinfeld center of the Khovanov-Lauda 2-category, whose
Euler.of the American Mathematical SocietyTo a family of Galois covers of the projective line, together with a ... fined by the
torsion points of the universal deformation. ..... The module X ? Qp is free of rank
2 over T ? Qp, and so one obtains a ...... I. Im sogenannten Drinfeld-Fall, d.h. µ = (
1, 0,..., 0) hat Mµ ...... test for multivariate polynomials over Fq, Work in progress.