You must be logged in to perform this action.
You must be logged in to perform this action.
You must be logged in to perform this action.
You must be logged in to perform this action.
You must be logged in to perform this action.
You must be logged in to perform this action.
Remix and Share

-
(Complete Item Description)
- Abstract:
" This course provides an introduction to the language of schemes, properties of morphisms, and sheaf cohomology. Together with 18.725 Algebraic Geometry, students gain an understanding of the basic notions and techniques of modern algebraic geometry."
- Subject:
- Mathematics and Statistics
- Grade Level:
- Post-secondary
- Collection:
-
MIT OpenCourseWare
Remix and Share

-
(Complete Item Description)
- Abstract:
Topics vary from year to year. Fall Term: Numerical properties and vanish theorems for ample, nef, and big line bundles and vector bundles; multiplier ideals and their applications
- Subject:
- Mathematics and Statistics
- Grade Level:
- Post-secondary
- Collection:
-
MIT OpenCourseWare
Remix and Share

-
(Complete Item Description)
- Abstract:
" This course will focus on various aspects of mirror symmetry. It is aimed at students who already have some basic knowledge in symplectic and complex geometry (18.966, or equivalent). The geometric concepts needed to formulate various mathematical versions of mirror symmetry will be introduced along the way, in variable levels of detail and rigor."
- Subject:
- Mathematics and Statistics
- Grade Level:
- Post-secondary
- Collection:
-
MIT OpenCourseWare
Remix and Share

-
(Complete Item Description)
- Abstract:
" This course will give a detailed introduction to the theory of tensor categories and review some of its connections to other subjects (with a focus on representation-theoretic applications). In particular, we will discuss categorifications of such notions from ring theory as: module, morphism of modules, Morita equivalence of rings, commutative ring, the center of a ring, the centralizer of a subring, the double centralizer property, graded ring, etc."
- Subject:
- Mathematics and Statistics
- Grade Level:
- Post-secondary
- Collection:
-
MIT OpenCourseWare