학술행사
Cech cohomology of Semiring schemes
등록일자 : 2015-07-15- 발표자 Jaiung Jun(전재웅, State University of New York at Binghamton, USA)
- 개최일시 2015-07-24 10:00
- 장소 수학원리응용센터 중형세미나실
NIMS 초청세미나
■ 연사: Jaiung Jun (전재웅, State University of New York at Binghamton, USA)
■ 일시: 2015년 7월 24일(금) 10:00
■ 장소: 국가수리과학연구소 CAMP 중형 세미나실
■ Title: Cech cohomology of Semiring schemes
■ Abstract: A semiring scheme generalizes a scheme in such a way that the underlying algebra is that of semirings. We generalize Cech cohomology theory and invertible sheaves to semiring schemes. In particular, when X is a projective space over a totally ordered idempotent semifield M, we show that cohomology semimodules vanish as in the classical computation for all n. Finally, we classify all invertible sheaves on X by computing Pic(X) explicitly.
NIMS 초청세미나
■ 연사: Jaiung Jun (전재웅, State University of New York at Binghamton, USA)
■ 일시: 2015년 7월 24일(금) 10:00
■ 장소: 국가수리과학연구소 CAMP 중형 세미나실
■ Title: Cech cohomology of Semiring schemes
■ Abstract: A semiring scheme generalizes a scheme in such a way that the underlying algebra is that of semirings. We generalize Cech cohomology theory and invertible sheaves to semiring schemes. In particular, when X is a projective space over a totally ordered idempotent semifield M, we show that cohomology semimodules vanish as in the classical computation for all n. Finally, we classify all invertible sheaves on X by computing Pic(X) explicitly.
