Concept

Algebraic geometry

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PHYS-726: Introduction to Frustrated Magnetism

To provide an introduction to all aspects of the rapidly evolving field of frustrated magnetism:

New paradigms: spin liquids, spin ice, topological order, ...
Basic models and methods
Experi

MATH-510: Algebraic geometry II - schemes and sheaves

The aim of this course is to learn the basics of the modern scheme theoretic language of algebraic geometry.

MATH-479: Linear algebraic groups

The aim of the course is to give an introduction to linear algebraic groups and to give an insight into a beautiful subject that combines algebraic geometry with group theory.

MATH-613: Abelian varieties

This will be a basic course on abelian varieties. We will start with the analytic point of view, and then we will pass on to the algebraic one. A basic knowledge of differential geometry and algebraic

MATH-643: Applied l-adic cohomology

In this course we will describe in numerous examples how methods from l-adic cohomology as developed by Grothendieck, Deligne and Katz can interact with methods from analytic number theory (prime numb

MATH-645: Young Topologists Meeting Mini-Courses

We expect these mini-courses to equip junior researchers with new tools, techniques, and perspectives for attacking a broad range of questions in their own areas of research while also inspiring stude

MATH-687: Algebraic models for homotopy types

ln this course we will develop algebraic and coalgebraic models for homotopy types. Among other things we will learn about Quillen's and Sullivan's model of rationâl homotopy types and about Mandell's

MATH-686: Introduction to geometric representation theory

This course presents geometric constructions of irreducible representations of semi-simple Lie Algebras and their Weyl groups by means of Springer theory.

MATH-679: Group schemes

This is a course about group schemes, with an emphasis on structural theorems for algebraic groups (e.g. Barsotti--Chevalley's theorem). All the basics will be covered towards the proof of such theore

MATH-615: Gaussian free field through random walks

In this lecture series some important objects of random geometry are introduced and studied. In particular, the relation between the Gaussian free field and random walks / Brownian motions is explored