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In this talk, we first recall some classical Hopf algebras on rooted trees, including Connes-Kreimer Hopf algebra and Loday-Ronco Hopf algebra. Then we give a combinatorial description of the coproduc...
In the first lecture I will give an introduction to toric algebras. A toric algebra can be seen as a monomial subalgebra, or as a quotient of a polynomial ring by a binomial prime ideal. We will discu...
Legendrian knots and their exact Lagrangian fillings are central objects to study in low dimensional contact and symplectic topology. In recent developments, cluster algebras have proven to be powerfu...
Let k be a algebraically closed field. We give a necessary and sufficient condition for a basic Hopf algebra over k to be finite representation type. Explicitly, we prove that a basic Hopf algebra ove...
Modeling non-commutative phenomena in finite dimensional matrix algebras is a central theme of the program Quantitative Linear Algebra. This workshop will focus on a variety of concrete questions aro...
This workshop aims to provide a unique opportunity to bring together specialists and active researchers from some Pacific RIM countries, as well as some European countries, in the areas of operator al...
This 10-day workshop is devoted to the representation theory of symmetric groups and related algebras.The representation theory of symmetric groups and related algebras is a vibrant and dynamic resear...
This workshop aims to provide a unique opportunity to bring together specialists and active researchers from some Pacific RIM countries, as well as some European countries, in the areas of operator al...
The purposes of this conference are to discuss the structures and classifications of the cluster algebras of geometric type, the recent advances of several main conjectures of cluster theory, the conn...
Options of traveling to Nankai University NOTE: On Sept 4, CIM will organize 3 buses to Beijing airport to pick up the participants (morning, noon and evening). Once you book your flight, please let...
Let G denote a connected reductive group over a nonarchimedean local field F. Let K denote a special maximal parahoric subgroup of G(F). We establish a Satake isomorphism for the Hecke algebra...
Let G be an unramified group over a p-adic field F, and let E/F be a finite unramified extension field. Let θ denote a generator of Gal(E/F). This paper concerns the ma...
This talk is about aspects of representation theory of p􀀀adic groups that parallel real groups. In the case of real groups, the results refer to J. Adams, P. Trapa, M. vanLeuwen, W-L. Yee a...
This talk is about aspects of representation theory of p􀀀adic groups that parallel real groups. This conforms to the Lefschetz principle which states that what is true for real groups is al...
An important well-known result of Rota describes the relationship between the M¨obius functions of two posets related by a Galois connection. We present an analogous result relating the antipodes of...

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