|
|
Семинар отдела алгебры и отдела алгебраической геометрии (семинар И. Р. Шафаревича)
3 марта 2020 г. 15:00, г. Москва, online
|
|
|
|
|
|
Highest weight approximations of chain abelian categories
A. Bodzenta |
Количество просмотров: |
Эта страница: | 136 |
|
Аннотация:
I will describe the construction
of highest weight categories as abelian envelopes of thin exact
categories, i.e. exact categories with 'full exceptional
collections'. I will discuss a source of examples of thin exact
categories given by slender filtrations on abelian categories, i.e.
filtrations with graded factors equivalent to the category of vector
spaces. In geometry, slender filtrations appear naturally for
sandwiched surface singularities. For cyclic quotient singularities,
or their algebraic counterpart - chain abelian categories, I will
classify all possible slender filtrations and calculate the abelian
envelopes of the thin exact categories they give. I will show that
they are all derived equivalent. This is a joint work in progress
with A. Bondal.
Язык доклада: английский
|
|