This quantity includes the complaints of the convention on illustration conception and Mathematical Physics, in honor of Gregg Zuckerman's sixtieth birthday, held October 24-27, 2009, at Yale college. Lie teams and their representations play a basic function of arithmetic, particularly due to connections to geometry, topology, quantity thought, physics, combinatorics, and plenty of different components. illustration conception is likely one of the cornerstones of the Langlands application in quantity concept, relationship to the Seventies. Zuckerman's paintings on derived functors, the interpretation precept, and coherent continuation lie on the middle of the fashionable conception of representations of Lie teams. one of many significant unsolved difficulties in illustration concept is that of the unitary twin. the truth that there's, in precept, a finite set of rules for computing the unitary twin is predicated seriously on Zuckerman's paintings. in recent times there was a fruitful interaction among arithmetic and physics, in geometric illustration conception, string thought, and different parts. New advancements on chiral algebras, illustration thought of affine Kac-Moody algebras, and the geometric Langlands correspondence are many of the focal issues of this quantity. fresh advancements within the geometric Langlands software aspect to intriguing connections among yes automorphic representations and twin fibrations in geometric replicate symmetry.

**Read Online or Download Representation Theory and Mathematical Physics: Conference in Honor of Gregg Zuckerman's 60th Birthday October 24-27, 2009 Yale University (Contemporary Mathematics) PDF**

**Best Algebraic Geometry books**

**An Introduction to Algebraic Geometry and Algebraic Groups (Oxford Graduate Texts in Mathematics)**

An obtainable textual content introducing algebraic geometries and algebraic teams at complicated undergraduate and early graduate point, this booklet develops the language of algebraic geometry from scratch and makes use of it to establish the idea of affine algebraic teams from first ideas. development at the history fabric from algebraic geometry and algebraic teams, the textual content presents an advent to extra complicated and specialized fabric.

**The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)**

The speculation of elliptic curves is individual via its lengthy historical past and by way of the variety of the equipment which have been utilized in its examine. This e-book treats the mathematics procedure in its glossy formula, by utilizing simple algebraic quantity idea and algebraic geometry. Following a quick dialogue of the mandatory algebro-geometric effects, the ebook proceeds with an exposition of the geometry and the formal crew of elliptic curves, elliptic curves over finite fields, the complicated numbers, neighborhood fields, and worldwide fields.

**Foundations of Hyperbolic Manifolds (Graduate Texts in Mathematics)**

This seriously class-tested ebook is an exposition of the theoretical foundations of hyperbolic manifolds. it's a either a textbook and a reference. A easy wisdom of algebra and topology on the first yr graduate point of an American college is believed. the 1st half is anxious with hyperbolic geometry and discrete teams.

**Additional resources for Representation Theory and Mathematical Physics: Conference in Honor of Gregg Zuckerman's 60th Birthday October 24-27, 2009 Yale University (Contemporary Mathematics)**