?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
?

단축키

Prev이전 문서

Next다음 문서

크게 작게 위로 아래로 댓글로 가기 인쇄
Extra Form
일정시작 2022-05-17
일정종료 2022-05-19
배경색상 #7164D0
반복주기 2
반복단위 1.일(단위)

 

  • Date :  2022-05-17,  05-19  14:00 ~ 15:30  
  • Place :  129-406 (SNU)  
  • Speaker :  Dahye Cho (Stony Brook University)

  • TiTle  : Symplectic Criteria on Stratified Uniruledness of Affine Varieties and Applications

    Abstract :  We develop criteria for affine varieties to admit uniruled subvarieties of certain dimensions. The measurements are from long exact sequences of versions of symplectic cohomology, which is a Hamiltonian Floer theory for some open symplectic manifolds including affine varieties. Symplectic cohomology is hard to compute, in general. However, certain vanishing and invariance properties of symplectic cohomology can be used to prove that our criteria for finding uniruled subvarieties hold in some cases. We provide applications of the criteria in birational geometry of log pairs in the direction of the Minimal Model Program.


Part 1. After briefly reviewing the Stein/Weinstein domain, Liouville domain, and Weinstein handle-decomposition, we will learn the definition of symplectic cohomology and some vanishing, invariance properties of symplectic cohomology.  We will learn how symplectic cohomology changes under  algebro-geometric operations,

Part 2,  We will learn how symplectic cohomology changes under Kishimoto's half-point attachment.   We define a criteria for affine varieties to admit uniruled subvarieties of certain dimensions from the long exact sequence of symplectic cohomology. We will talk about the key idea proving the main theorem and provide some applications.

 

 

 

 


List of Articles
번호 제목 글쓴이 날짜 조회 수
공지 QSMS Mailing List Registration qsms 2021.09.09 2450
82 [SNU Number Theory Seminar 2022-06-21] Arithmetic local systems over the moduli space of curves qsms 2022.07.21 836
81 [QSMS Seminar 20220721] Finding ALL solutions qsms 2022.07.14 1383
80 [QSMS Mini-course] Pablo Portilla cuadrado (University of Lille) qsms 2022.07.04 854
79 [QSMS Monthly Seminar] Yokonuma Hecke algebras and invariants of framed links qsms 2022.05.27 869
78 [SNU Number Theory Seminar 2022-06-03] The Coleman conjecture on circular distributions and the equivariant Tamagawa Number conjecture qsms 2022.05.18 1086
77 [SNU Number Theory Seminar 2022-05-20] Distribution of Hecke eigenvalues of GL_2 automorphic representations qsms 2022.05.18 799
» [QSMS Geometry Seminar 2022-05-17, 19] Symplectic Criteria on Stratified Uniruledness of Affine Varieties and Applications qsms 2022.05.09 923
75 [QSMS Geometry Seminar 2022-05-12] Tropical Lagrangian multi-sections and tropical locally free sheaves qsms 2022.05.07 833
74 [2022 KMS Spring Meeting] Related talks qsms 2022.04.28 987
73 [QSMS Monthly Seminar] Quantization of integrable differential difference equations qsms 2022.04.22 827
72 [SNU Number Theory Seminar 2022-05-06] On an upper bound of the average analytic rank of a family of elliptic curves qsms 2022.04.19 966
71 [SNU Number Theory Seminar 2022-05-13] A singular function containing all Lagrange numbers less than three qsms 2022.04.12 887
70 [SNU Number Theory Seminar 2022-04-15] A note on non-ordinary primes for some genus-zero arithmetic groups qsms 2022.04.12 810
69 [QSMS-BK21 Toric Geometry Seminar] Moduli Space of Special Lagrangians in the Complement of an Anticanonical Divisor qsms 2022.04.12 976
68 [QSMS Seminar 2022.04.19] Universal objects in vertex algebra theory qsms 2022.04.07 917
67 [SNU Number Theory Seminar 20220401] Randomness and structure for sums of cubes qsms 2022.03.28 950
66 [QSMS Monthly Seminar] The dimension of the kernel of an Eisenstein ideal qsms 2022.03.25 830
65 [SNU Number Theory Seminar 20220321, 0322, 0324] Three lectures on the Eisenstein ideal qsms 2022.03.19 800
64 [SNU Number Theory Seminar 2022.03.18] On p-rationality of $\mathbb{Q}(\zeta_{2l+1})^{+}$ for Sophie Germain primes $l$ qsms 2022.03.19 1022
63 [BK21-QSMS Toric Geometry Seminar] The Fredholm regularity of discs qsms 2022.03.14 807
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8