Registration：https://www.wjx.top/vm/hNd96OF.aspx#Target AudienceUndergraduate students, graduate students, postdocs, professors, not necessarily working in number theory.PrerequisitesBasic number theory and commutative algebra, such as congruences, quadratic reciprocity law, groups, commutative rings.AbstractResearchers in one area are often unable to understand research work in another area, ...
Abstract These lectures will explore connections between (generalized) q-Schur algebras and the quantized enveloping algebra Uq(g) associated with a simple Lie algebra g. These connections are facilitated by a certain completion of Lusztig’s modified form of Uq(g). Although the q-Schur algebras arose initially as quotients of Uq(g) it is possible to reverse history and use them as a tool to re...
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