조회 수 1376 추천 수 0 댓글 0
?

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 2022-01-24
배경색상 #7164D0
  • Date :  2022-01-24  10:00 ~ 17:00  
  • Place :  129-309 (SNU)
  • Speaker :  김경모 (SNU)

  • Title :  Toric varieties

  • Abstract : 

In this talk, basic definitions and properties about toric varieties are introduced. A toric variety is an algebraic variety in which an algebraic torus is embedded such that the action extends to the whole variety. We'll study how toric varieties are constructed from combinatorial data called a fan.

 

 

  • Date :  2022-05-23  10:00 ~ 17:00  
  • Place :  129-309 (SNU)
  • Speaker :  노경민 (SNU)

  • Title :   SYZ Mirror symmetry for toric Calabi-Yau mainfolds

  • Abstract : 

In this seminar, we discuss mirror symmetry for toric Calabi-Yau manifolds from the perspective of the SYZ conjecture. For a non-toric special Lagrangian torus fibration on a toric Calabi-Yau manifold, its mirror can be constructed as a complex manifold using T-duality modified by quantum corrections. We also investigate the relation between those corrections and Fourier transforms of generating functions of certain open Gromov-Witten invariants.

 

 

  • Date :  2022-06-13  10:00 ~ 17:00  
  • Place :  129-104 (SNU)
  • Speaker :  손범준 (SNU)

  • Title :  Lefschetz fibrations and symplectic homology

  • Abstract : 

In this talk, we briefly introduce the how M. Mclean proved the existence of infinitely many exotic Stein manifolds diffeomorphic to Euclidean space with dimension at least 8. Then, we will define variant version of symplectic homologies related to lefschetz-fibration and prove the relations between them. Our main reference is Mark McLean's "Lefschetz fibrations and symplectic homology."

 

 

  • Date :  2022-06-27  10:00 ~ 18:00  
  • Place :  129-104 (SNU)
  • Speaker :  김용환 (SNU)

  • Title :  Theta functions and mirror symmetry

  • Abstract : 

In this talk, we introduce the ongoing programme of Gross-Siebert and Gross-Hacking-Keel to expand the ideas of SYZ mirror symmetry to a broader class of symplectic manifolds. We first recall the SYZ mirror symmetry construction, and its limitations. To analyze how the mirror should behave near critical torus fibers, we introduce the language of tropical geometry and explain SYZ mirror symmetry for Calabi-Yau manifolds in this context. We end by giving some recent developments in this direction. The talk will be mostly based on two expository papers of Mark Gross - "Theta Functions and Mirror Symmetry", and "The Strominger-Yau-Zaslow conjecture: From torus fibrations to degenerations".

 

 

  • Date :  2022-07-11  14:30 ~ 16:30  
  • Place :  129-309 (SNU)
  • Speaker :  김용환 (SNU)

  • Title :  Lefschetz bifibrations and matching cycles

  • Abstract : 

We first give some methods to compute the symplectic homology of a complement of a Milnor fiber, and show that it is nonvanishing in many cases. Then, we introduce how to interpret a Milnor fiber as a Lefschetz fibration over a disc, and briefly look at McLean's spectral sequence. Then we move on to the general theory of Lefschetz fibrations, and introduce the concept of Lefschetz bifibrations and matching cycles - these will appear later in the construction of Seidel.

 

 

  • Date :  2022-08-01  10:00 ~ 18:00  
  • Place :  129-406 (SNU)
  • Speaker :  김도형 (SNU)

  • Title :  Dehn twist along an exact Lagrangian sphere

  • Abstract : 

Before we actually construct the long exact sequence of Lagrangian Floer homology groups, we will talk about its main ingredient : a Dehn twist along an Exact Lagrangian sphere L. We will use a notion of "exact Lefschetz fibration" to depict it and if time permits, we will also talk about vanishing cycle in the exact Lefschetz fibration. (lunch: 12:00 - 14:00, break: 15:20 - 15:40)

 

 

 


List of Articles
번호 제목 글쓴이 날짜 조회 수
공지 QSMS Mailing List Registration qsms 2021.09.09 4640
85 [QSMS-BK21 Toric Geometry Seminar] Moduli Space of Special Lagrangians in the Complement of an Anticanonical Divisor qsms 2022.04.12 1561
84 [QSMS-BK21 Symplectic Seminar 9 June] Physical Aspects of the Calegaro System / Introduction to BV Formalism qsms 2023.06.26 1078
83 [QSMS-BK21 Symplectic Seminar 30 June] Matrix Factorizations qsms 2023.06.26 1123
82 [QSMS-BK21 Symplectic Seminar 28 July] Nonexistence of Exact K(G,1) Lagrangians in Milnor Fibers of Weighted Homogeneous Polynomials / Associative Yang-Baxter Equation and Fukaya Categories qsms 2023.07.17 1092
81 [QSMS-BK21 Symplectic Seminar 28 Apr] PGL(2,Q_p)-ORBIT CLOSURES ON A p-ADIC HOMOGENEOUS SPACE OF INFINITE VOLUME qsms 2023.05.12 1123
80 [QSMS-BK21 Symplectic Seminar 26 May] 1. Product structures on the relative symplectic cohomology 2. Symplectic homology of affine varieties qsms 2023.05.25 1111
79 [QSMS-BK21 Symplectic Seminar 14 July] Introduction to 3D Mirror Symmetry, from a Symplectic Viewpoint / Orbifolding Lagrangian Floer Cohomology qsms 2023.07.12 1141
78 [QSMS-BK21 Symplectic Seminar 12 May] Introduction to Floer Homotopy: Global Kuranishi Charts via Abouzaid-McLean-Smith qsms 2023.05.12 1129
77 [QSMS-BK21 Symplectic Seminar 10 Mar] Mirror Symmetry for Log Calabi-Yau Surfaces qsms 2023.03.09 1200
76 [QSMS-BK21 symplectic semiar] Part 4 (23' Aug 18 ~) qsms 2023.12.27 840
75 [QSMS-BK21 Symplectic Geometry Seminar 2022-12-09] Introduction to Floer Homotopy: Formal Groups and Complex Cobordism qsms 2022.11.28 1233
74 [QSMS-BK21 Symplectic Geometry Seminar 2022-11-04] Introduction to Floer Homotopy: Kuranishi Structures qsms 2022.10.26 1250
73 [QSMS-BK21 Symplectic Geometry Seminar 2022-09-30] Introduction to Floer Homotopy: Bordism and Flow Categories qsms 2022.09.26 1264
» [QSMS-BK21 Seminar] Past seminars qsms 2022.08.26 1376
71 [QSMS-BK21 Seminar 2022-08-29] Symplectic Cohomology, String Topology, and Deformations qsms 2022.08.29 1315
70 [QSMS 집중강연 Representation theory 2023-02-13] Mini-course on quantum symmetric pairs II qsms 2023.01.05 1315
69 [QSMS 집중강연 Representation theory 2023-02-07] Mini-course on quantum symmetric pairs I qsms 2023.01.03 1234
68 [QSMS 위상기하 세미나 2021.11.25] Exotic families of Weinstein manifolds with Milnor fibers of ADE types qsms 2021.11.19 1636
67 [QSMS 기하/위상 세미나 2021.09.06] The mirror P=W conjecture from homological mirror symmetry of Fano manifolds qsms 2021.09.03 1788
66 [QSMS Symplectic topology seminar-20230828] From Babylonian lunar observations to global surfaces of section qsms 2023.08.21 1084
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8