- Geometry in Representation Theory
- Representation theory
- D-modules and Representation Theory Seminar Winter 07
But, as is also known, there seems not to have been any significant progress beyond the 1,1 case afforded by the Lefschetz theorem. There are, of course, many other important conjectures on the arithmetic and geometric properties of these algebraic cycles, as envisioned by Grothendieck, Bloch and Beilinson, mostly depending on deep properties of the theory of motives.
On the other hand, the geometry of homogeneous complex manifolds and the representation theory of algebraic groups are intimately intertwined, either in the finite dimensional case or in the infinite dimensional one, by the geometry of a corresponding Mumford-Tate domain. The monograph under review has as its main subject the relationships between Hodge theory and representation theory.
Thus, the connecting bridges are built on the common ground of complex geometry. The main goal of this monograph is an exposition of recent work on the subject, especially the work of Carayol and the authors. The exposition is of an advanced level, as could be expected, but the authors have tried to make the exposition as accessible as possible, by working with concrete examples throughout the lectures. His e-mail address is fz xanum.
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Geometry in Representation Theory
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D-modules and Representation Theory Seminar Winter 07
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- Representation Theory and Complex Geometry;
- Geometry in Representation Theory;
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