Rational Points on Curves over Finite Fields: Theory and by Harald Niederreiter,Chaoping Xing PDF

Ever because the seminal paintings of Goppa on algebraic-geometry codes, rational issues on algebraic curves over finite fields were a big study subject for algebraic geometers and coding theorists. the focal point during this program of algebraic geometry to coding concept is on algebraic curves over finite fields with many rational issues (relative to the genus).

Read e-book online Lie Theory and Its Applications in Physics: IX International PDF

Regularly, Lie concept is a device to construct mathematical types for actual structures. lately, the rage is in the direction of geometrisation of the mathematical description of actual platforms and gadgets. a geometrical method of a procedure yields typically a few idea of symmetry that is very valuable in knowing its constitution.

Representations of Finite Groups: Local Cohomology and by David J. Benson,Srikanth Iyengar,Henning Krause PDF

The seminar makes a speciality of a contemporary answer, via the authors, of a protracted status challenge in regards to the good module classification (of no longer unavoidably finite dimensional representations) of a finite crew. The evidence attracts on rules from commutative algebra, cohomology of teams, and solid homotopy concept. The unifying subject is a concept of aid which supplies a geometrical strategy for learning a variety of algebraic constructions.

Descriptive Topology and Functional Analysis: In Honour of by Juan Carlos Ferrando,Manuel Lopez-Pellicer PDF

Descriptive topology and practical research, with broad fabric demonstrating new connections among them, are the topic of the 1st component to this paintings. purposes to areas of constant capabilities, topological Abelian teams, linear topological equivalence and to the separable quotient challenge are incorporated and are provided as open difficulties.