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2018年群论研讨会（Ischia Group Theory 2018）
2018年 群论 研讨会
2017/12/20
A Conference on Group Theory will be held at Grand Hotel delle Terme Re Ferdinando, in Ischia (Naples, Italy), from Monday, March 19th, to Friday, March 23rd, 2018. The arrival of participants is expe...
2018群表示论及其应用研讨会（Introductory Workshop:Group Representation Theory and Applications）
2018 群表示论及其应用 研讨会
2017/12/20
The workshop will survey various important and active areas of the representation theory of finite and algebraic groups, and introduce the audience to several basic open problems in the area. It will ...
Sieve methods in group theory I: Powers in Linear groups
Sieve Property-T Powers Linear groups Finite groups of Lie type
2011/9/14
Abstract: A general sieve method for groups is formulated. It enables one to "measure" subsets of a finitely generated group. As an application we show that if $\Gamma$ is a finitely generated non vir...
Random partitions and asymptotic theory of symmetric groups, Hecke algebras and finite Chevalley groups
Random partitions asymptotic theory of symmetric groups Hecke algebras finite Chevalley groups
2011/2/22
Kit meanwhile had begun to frequent the Applied Mechanics Institute. Since Prandtl’s recent discovery of the boundary layer, things over there had been hopping, with intense inquiry into matters of li...
The purpose of this chapter is to give an introduction to the theory of cluster categories and cluster-tilted algebras, with some background on the theory of cluster algebras, which motivated these to...
Symmetric quivers, invariant theory, and saturation theorems for the classical groups
Symmetric quivers invariant theory saturation theorems for the classical groups
2010/12/7
Let G denote either a special orthogonal group or a symplectic group defined over the complex
numbers. We prove the following saturation result for G: given dominant weights λ1, . . . , λr
such that...
Galois theory of difference equations with periodic parameters
Difference Galois theory q-difference equations Jacobi’s thetafunction sequences
2010/11/30
We develop a Galois theory for systems of linear difference equations with periodic parameters, for which we also introduce linear difference algebraic groups.We then apply this to constructively test...
Cluster algebras and representation theory
cluster algebra canonical and semicanonical basis preprojective algebra
2010/12/10
We apply the new theory of cluster algebras of Fomin and Zelevinsky to study some combinatorial problems arising in Lie theory. This is joint work with Geiss and Schr¨oer (§3, 4, 5, 6), and with Herna...
Orbit Equivalence and Measured Group Theory
Orbit equivalence Measured group theory von Neumann algebras
2010/11/26
We give a survey of various recent developments in orbit equivalence and measured group theory. This subject aims at studying infinite countable groups through their measure preserving actions.
Towards an Lp potential theory for sub-Markovian semigroups: kernels and capacities
nonlinear potential theory $(r,p)$-capacity Bessel potential space gamma-transform sub-Markovian semigroup
2007/12/12
We study in fairly general measure spaces $(X,\mu)$ the (non-linear) potential theory of $L^p$ sub-Markovian semigroups which are given by kernels having a density with respect to the underlying measu...
The Theory of Jacobi Systems and Their Abelian Representations
Jacobi Systems Abelian Representations
2010/2/26
In this article we introduce a new generalization of the concept of Lie ring which we call Jacobi system and we investigate some elementary properties of these systems and their Abelian representation...