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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Inverse problem for the harmonic measure
谐波测量 反问题 双曲群
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2023/4/17
Sample paths of a random walk on a hyperbolic group are known to converge to the Gromov boundary. The distribution of the exit point is called the harmonic measure. I will discuss the following invers...
MODULAR FORMS AND SOME CASES OF THE INVERSE GALOIS PROBLEM
MODULAR FORMS SOME CASES INVERSE GALOIS PROBLEM
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2015/8/26
We prove new cases of the inverse Galois problem by considering the residual Galois representations arising from a fixed newform. Specific choices of weight 3 newforms will show thatthere are Galois e...
Waring Problem for Finite Quasisimple Groups
Finite Quasisimple Groups Waring Problem Group Theory
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2011/9/13
Abstract: The classical Waring problem deals with expressing every natural number as a sum of g(k) kth powers. Similar problems for finite simple groups have been studied recently, and in this paper w...
Membership Problem in groups acting freely on Z^n-trees
Membership Problem Group Theory
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2011/8/25
Abstract: Groups acting freely on Z^n-trees (Z^n-free groups) play a key role in the study of non-archimedean group actions. Following Stallings' ideas, we develop graph-theoretic techniques to invest...
Solution of the Word Problem in the Singular Braid Group
Singular braid word problem
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2010/2/26
Singular braids are isotopy classes of smooth strings which are allowed to cross each other pairwise with distinct tangents. Under the usual multiplication of braids, they form a monoid. The singular ...
A Discrete Version of an Open Problem and Several Answers
Integral inequality Discrete version Open problem
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2010/1/25
In this article, a discrete version of an open problem in [Q. A. Ng? D. D. Thang, T. T. Dat, and D. A. Tuan, Notes on an integral inequality, J. Inequal. Pure Appl. Math. 7 (2006), no. 4, Art. 120; Av...
A problem of Kollar and Larsen on finite linear groups and crepant resolutions
Age deviation finite linear groups complex reflection groups
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2010/12/6
The notion of age of elements of complex linear groups was introduced by M. Reid and is of importance in algebraic geometry, in particular in the study of crepant resolutions and of quotients of Calab...