Algebraic Geometry and Number Theory: In Honor of Vladimir by victor ginzburg

Posted by

By victor ginzburg

The most inventive mathematicians of our occasions, Vladimir Drinfeld bought the Fields Medal in 1990 for his groundbreaking contributions to the Langlands software and to the speculation of quantum groups.These ten unique articles via admired mathematicians, devoted to Drinfeld at the get together of his fiftieth birthday, largely replicate the variety of Drinfeld's personal pursuits in algebra, algebraic geometry, and quantity conception.

Show description

Read or Download Algebraic Geometry and Number Theory: In Honor of Vladimir Drinfeld's 50th Birthday PDF

Best abstract books

An introductory course in commutative algebra

The authors supply a concise creation to themes in commutative algebra, with an emphasis on labored examples and functions. Their therapy combines dependent algebraic concept with purposes to quantity idea, difficulties in classical Greek geometry, and the idea of finite fields, which has vital makes use of in different branches of technology.

Analysis in Integer and Fractional Dimensions

This ebook presents an intensive and self-contained examine of interdependence and complexity in settings of practical research, harmonic research and stochastic research. It specializes in "dimension" as a easy counter of levels of freedom, resulting in distinctive family among combinatorial measurements and numerous indices originating from the classical inequalities of Khintchin, Littlewood and Grothendieck.

Abstract Algebra: A Concrete Introduction

This can be a new textual content for the summary Algebra path. the writer has written this article with a different, but ancient, method: solvability through radicals. This process is determined by a fields-first association. despite the fact that, professors wishing to begin their direction with team concept will locate that the desk of Contents is very versatile, and incorporates a beneficiant volume of workforce insurance.

Basic Modern Algebra with Applications

The booklet is basically meant as a textbook on glossy algebra for undergraduate arithmetic scholars. it's also helpful should you have an interest in supplementary analyzing at the next point. The textual content is designed in this type of means that it encourages self sustaining considering and motivates scholars in the direction of extra research.

Additional info for Algebraic Geometry and Number Theory: In Honor of Vladimir Drinfeld's 50th Birthday

Sample text

Miwa, M. Jimbo, and E. Date, Solitons: Differential Equations, Symmetries and Infinite-Dimensional Algebras, Cambridge Tracts in Mathematics, Vol. 135. Cambridge University Press, Cambridge, UK, 2000. [21] A. Okounkov and R. AG/0204305, 2002. [22] A. Okounkov and R. Pandharipande, in preparation. Cluster X -varieties, amalgamation, and Poisson–Lie groups V. V. Fock∗ and A. B. Goncharov† ∗ Institute for Theoretical and Experimental Physics B. edu To Vladimir Drinfeld for his 50th birthday. Subject Classifications: Primary 22E46, 20G42.

If H ∈ H, the map ev : XH → G is injective at the generic point. If H is the longest element of H, then the image of ev is Zariski dense in G. The map ev : XB → G is a composition π evH XB −→ XH → G, H = π(B). Remark 1. A part of the above data is axiomatized as follows. , the category of Poisson varieties with the product as monoidal structure), and for every pair s, t ∈ S a canonical morphism ms,t : Xs × Xt −→ Xst . , for every r, s, t ∈ S, the following diagram is commutative: Id ×ms,t Xr × Xs × Xt −→ Xr × Xst , mr,s ↓ ×Id ↓ mr,st , (6) mrs,t Xrs × Xt −→ Xrst .

1 Basic definitions A cluster seed , or just seed , I is a quadruple (I, I0 , ε, d), where (i) (ii) (iii) (iv) I is a finite set; I0 ⊂ I is a subset; ε is a matrix (εij ), where i, j ∈ I , such that εij ∈ Z unless i, j ∈ I0 ; d = {di }, where i ∈ I , is a set of positive integers, such that the matrix (εij ) = (εij dj ) is skew-symmetric. The elements of the set I are called vertices, the elements of I0 are called frozen vertices. The matrix ε is called a cluster function, the numbers {di } are called multipliers, and the function d on I whose value at i is di is called a multiplier function.

Download PDF sample

Rated 4.26 of 5 – based on 31 votes