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THE EQUATIONS FOR THE MODULI SPACE OF n POINTS ON THE LINE
MODULI SPACE n POINTS ON THE LINE
2015/10/14
A central question in invariant theory is that of determining the relations among invariants. Geometric invariant theory quotients come with a natural ample line bundle, and hence often a natural proj...
THE GEOMETRIC THETA CORRESPONDENCE FOR HILBERT MODULAR SURFACES
GEOMETRIC THETA CORRESPONDENCE；HILBERT MODULAR SURFACES
2015/10/14
In a series of papers [11, 12, 13, 14] we have been studying the geometric theta correspondence (see below) for non-compact arithmetic quotients of symmetric spaces associated to orthogonal groups. It...
SPECTACLE CYCLES WITH COEFFICIENTS AND MODULAR FORMS OF HALF-INTEGRAL WEIGHT
SPECTACLE CYCLES COEFFICIENTS AND MODULAR FORMS HALF-INTEGRAL WEIGHT
2015/10/14
In this paper we present a geometric way to extend the Shintani lift from even weight cusp forms for congruence subgroups to arbitrary modular forms, in particular Eisenstein series. This is part of o...
THE ESSENTIAL DIMENSION OF A g-DIMENSIONAL COMPLEX ABELIAN VARIETY IS 2g
ESSENTIAL DIMENSION COMPLEX ABELIAN VARIETY IS 2g
2015/9/29
We compute the Buhler-Reichstein essential dimension of a complex abelian variety using Kummer theory.
SMALL POLYNOMIAL MATRIX PRESENTATIONS OF NONNEGATIVE MATRICES
SMALL POLYNOMIAL MATRIX NONNEGATIVE MATRICES
2015/9/29
We investigate the use of polynomial matrices to give efficient presentations of nonnegative matrices exhibiting prescribed spectral and algebraic behavior.
Invariant functions on Lie groups and Hamiltonian flows ofsurface group representations
Lie groups Hamiltonian flows
2015/9/29
In [7] it wasshown that ifn isthe fundamental group ofa closed oriented surface S
and Gis Lie group satisfying very general conditions, then the space Hom(n, G)/G
of conjugacy classes of representat...
Our aim here is to give a fairly self-contained exposition of some basic facts
about the Iwahori-Hecke algebra H of a split p-adic group G, including Bernstein’s
presentation and description of the ...
Affine Deligne-Lusztig varieties in affine flag varieties
Affine Deligne-Lusztig flag varieties
2015/9/29
This paper studies ane Deligne-Lusztig varieties in the ane
ag manifold of a split
group. Among other things, it proves emptiness for certain of these varieties, relates
some of them to those fo...
Sampling and Estimation in Hidden Populations Using Respondent-Driven Sampling
Hidden Population Sampling
2015/9/11
Sampling and Estimation in Hidden Populations Using Respondent-Driven Sampling。
The dead-end depth of an element g of a group G with generating set A is the distance from g to the complement of the radius d(1,g) closed ball, in the word metric d defined with respect to A. We exhi...
Random Walks on Finite Groups
Finite Groups Random
2015/8/26
Markov chains on finite sets are used in a great variety of situations
to approximate, understand and sample from their limit distribution. A familiar
example is provided by card shuffling methods. ...
Wreath products are a type of semidirect product. They play an important
role in group theory. This paper studies the basic behavior of simple random
walks on such groups and shows that these walks ...
We prove two-sided estimates of heat kernels on non-parabolic
Riemannian manifolds with ends, assuming that the heat kernel on each end separately
satisfies the Li-Yau estimate.
Résumé. — Nous obte...
The Metropolis algorithm is a widely used procedure for sampling
from a specified distribution on a large finite set. We survey what is
rigorously known about running times. This includes work from ...
This paper develops bounds on the rate of decay of powers of Markov kernels
on finite state spaces. These are combined with eigenvalue estimates to give
good bounds on the rate of convergence to sta...