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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Special cycles on Shimura varieties and theta series
下村品种 θ系列 特殊循环
2023/5/17
In this talk I will introduce special and generalized cycles on Shimura varieties and discuss how to use them to construct geometric and arithmetic theta series. Then I will briefly discuss the connec...
With this assumption, we now work with u1 = u2 = 0 and use only u3. By the extension to o of
Dirichlet's theorem on primes in an arithmetic progression, we may nd u3 such that C
1 = C1+u3A1
is pr...
This introductory article aims to provide a roadmap to many of the
interrelated papers in this volume and to a portion of the field of multiple Dirichlet
series, particularly emerging new idea...
Poincare series for plane curve singularities and their behaviour under projections
Curve singularity Alexander polynomial Poincare series value semigroup Grothendieck ring of varieties
2011/8/26
Abstract: Our purpose is to investigate all defined Poincar\'e series associated with multi-index filtrations and value semigroups of curve singularities---not necessarily complex---with regard to the...
Generalised Poincaré series and embedded resolution of curves
Curve singularity Poincaré series divisorial valuation motivic integration
2011/8/26
Abstract: The purpose of this paper is to extend the notions of generalised Poincar\'e series and divisorial generalised Poincar\'e series (of motivic nature) introduced by Campillo, Delgado and Gusei...
The q-WZ Method for Infinite Series
basic hypergeometric series the q-Gosper algorithm the q-Zeilberger algorithm the q-WZ method
2014/6/3
Motivated by the telescoping proofs of two identities of Andrews and Warnaar, we find that infinite q-shifted factorials can be incorporated into the implementation of the q-Zeilberger algorithm in th...