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Mapping class groups and homeomorphism groups are symmetry groups of surfaces and all manifolds. They are usually very rigid, in the sense that their automorphism groups only consist of conjugation. I...
In this talk, I will present a proof a decomposition formula of Kazhdan-Lusztig basis for the elements in the lowest two-sided cell of an affine Weyl group. This formula can be used to determine the l...
The Morse boundary of a proper geodesic metric space is a generalization of the Gromov boundary of a hyperbolic space. It is a quasi-isometry invariant to study "hyperbolic directions" in the space. T...
Affine Springer fibers were introduced by Kazhdan-Lusztig as a generalization of Springer fibers to loop groups. Later they were found to have applications in harmonic analysis in reductive groups ove...
We go through Zimmer's book Chapter 2-3, making some preparations for Margulis super-rigidity theorem.
In this talk, I will introduce the methods for calculating the unstable homotopy groups of finite CW-complexes which builds on works of the relative James construction initiated by B. Gray in 1973 and...
Let G be a finite abelian group. If f: G → C is a nonzero function with Fourier transform f , the Donoho-Stark uncertainty principle states that|supp(f)||supp(f )|≥|G|. The purpose of this talk is two...
O-minimal structures have been introduced in the 80s to some extent with the goal of finding generalizations of model theoretic properties of stable theories to ordered structures. Later on, numerous ...
Since the work of Sela, and Kharlampovich & Myasnikov on Tarski’s problem for non-abelian free groups, the model theoretic analysis of classes of groups arising from combinatorial and geometric group ...
In this talk, I will breifly introduce the p-aidc number, p-aidc manifolds, p-adic algebraic groups and p-aidc definable groups. Using an elementary method, I will show that every open subgroup of a c...
April 17, 2007,WASHINGTON—The American Psychological Association has teamed with the National Alliance on Mental Illness and the American Psychiatric Association to present a brief as Amici Curiae to ...
8-Mar-2007,Berkeley -- Two new studies by University of California, Berkeley, scientists highlight the amazing promiscuity of genes, which appear to shuttle frequently between organisms, especially mo...
13 February 2007,ADB IS working closely with local communities to strengthen traditional water groups and rehabilitate irrigations systems in Aceh and Nias.
WASHINGTON, D.C. (February 20, 2007) – The nation’s investor- and municipally owned electric utilities, in another indication of energy efficiency’s growing value to America’s economy, today joined ...

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