Views 1368 Votes 0 Comment 0
?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
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
No. Subject Author Date Views
Notice QSMS Mailing List Registration qsms 2021.09.09 4616
125 [QSMS Seminar 2023-05-17] Affinizations, R-matrices and reflection functors qsms 2023.05.04 1084
124 [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 1084
123 [SNU Number Theory Seminar 14 Apr] Homological interpretation of Hecke $L$-values over real quadratic fields qsms 2023.03.31 1100
122 [QSMS Monthly Seminar 2023-04-21] Lagrangian submanifolds and their Legendrian lifts qsms 2023.04.21 1103
121 [QSMS Symplectic topology seminar 20230817] Symplectic Torelli classes of positive entropy qsms 2023.08.14 1104
120 [QSMS Geometry seminar 2023-05-25] Symplectic field theory and codimension-2 stable Hamiltonian submanifolds qsms 2023.05.25 1106
119 [QSMS-BK21 Symplectic Seminar 26 May] 1. Product structures on the relative symplectic cohomology 2. Symplectic homology of affine varieties qsms 2023.05.25 1108
118 [QSMS Geometry Seminar 20221230] Morphism spaces between coisotropic A-branes qsms 2022.12.27 1110
117 [QSMS-BK21 Symplectic Seminar 30 June] Matrix Factorizations qsms 2023.06.26 1115
116 [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 1117
115 [QSMS Monthly Seminar 2023-03-24] Rational points on abelian varieties qsms 2023.03.24 1121
114 [QSMS-BK21 Symplectic Seminar 12 May] Introduction to Floer Homotopy: Global Kuranishi Charts via Abouzaid-McLean-Smith qsms 2023.05.12 1125
113 [QSMS-BK21 Symplectic Seminar 14 July] Introduction to 3D Mirror Symmetry, from a Symplectic Viewpoint / Orbifolding Lagrangian Floer Cohomology qsms 2023.07.12 1138
112 [SNU Number Theory Seminar 2 June] A refined Tamagawa number conjecture for modular forms qsms 2023.04.20 1143
111 [QSMS Seminar 2022-10-25] Rational liftings and gRSK qsms 2022.10.08 1147
110 [QSMS Symplectic topology seminar 20230811, 0817] Spectral numbers in Tate Rabinowitz Floer Homology qsms 2023.08.04 1164
109 [QSMS Seminar 2022-09-27] Categories of Whittaker Modules over Lie superalgebras and Categorification of Fock Spaces qsms 2022.09.20 1169
108 [QSMS Seminar 2022-12-2] N=2 supersymmetric W algebras from Hamiltonian reduction qsms 2022.11.25 1176
107 [2022 Global KMS International Conference 10/19 ~ 10/21] Related talks qsms 2023.01.05 1177
106 [QSMS Monthly Seminar 2022-10-28] Oscillator representations of quantum affine algebras   qsms 2022.10.30 1189
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8