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일정시작 2024-03-22
배경색상 #036eb7

2024년 03월 QSMS  Monthly Seminar 

 

  • Date:   Mar. 22th (Fri) 14:00 ~ 17:00
  • Place:  27-220 (SNU)
  • Contents:


Speaker:  이석형 (SNU)

Title: Lifting problem for universal quadratic forms
Abstract:  A positive definite quadratic form is called universal if it can represent all nonnegative integers, such as the form $x^2+y^2+z^2+w^2$ as shown by Lagrange. The concept of "lifting problem" generalizes this notion to totally real number fields $K$: an integral quadratic form is called universal over $K$ if it can represent every total positive integral element.  In this talk, we survey several results on universal forms over number fields, especially focusing on some recent developments obtained by utilizing the geometry of numbers argument.  Then we present our result classifying all cubic and biquadratic fields which admit an integral universal form.  This is joint work with Daejun Kim.

Speaker:  강정수 (SNU)
Title:  Poincare duality in Rabinowitz Floer homology
Abstract:  A recent study by Cieliebak and Oancea discovers a Poincare duality property in Rabinowitz Floer homology, which resolves several mysterious duality phenomena in String topology. I will give a gentle introduction to this recent development.  

 

 

 

 


List of Articles
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23 [QSMS Monthly Seminar 2024-04-12] Local systems and finite group symmetry in Floer theory / Calabi-Yau structures on Rabinowitz Fukaya categories qsms 2024.04.12 153
» [QSMS Monthly Seminar 2024-03-22] Lifting problem for universal quadratic forms / Poincare duality in Rabinowitz Floer homology qsms 2024.03.22 2386
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20 [QSMS Monthly Seminar 2023-11-11] Cluster structures on polygon spaces / From classical to quantum integrability qsms 2023.11.10 3256
19 [QSMS Monthly Seminar 2023-10-13] Quantum Grothendieck rings of Hernandez-Leclerc categories / Regular Schur labeled skew shape posets and their 0-Hecke modules qsms 2023.10.13 3057
18 [QSMS Monthly Seminar 2023-05-26] Lagrangian submanifolds and their Legendrian lifts qsms 2023.05.26 3099
17 [QSMS Monthly Seminar 2023-04-21] Lagrangian submanifolds and their Legendrian lifts qsms 2023.04.21 3034
16 [QSMS Monthly Seminar 2023-03-24] Rational points on abelian varieties qsms 2023.03.24 2979
15 [QSMS Monthly Seminar 2022-12-02] Extended crystal structures of Hernandez-Leclerc categories qsms 2022.12.02 3044
14 [QSMS Monthly Seminar 2022-10-28] Oscillator representations of quantum affine algebras   qsms 2022.10.30 3011
13 [QSMS Monthly Seminar 2022-09-30] Monotone Lagrangians via toric degenerations: algebraic approach qsms 2022.09.30 3042
12 [QSMS Mini-course] Pablo Portilla cuadrado (University of Lille) qsms 2022.07.04 3105
11 [QSMS Geometry seminar 2023-05-25] Symplectic field theory and codimension-2 stable Hamiltonian submanifolds qsms 2023.05.25 3007
10 [QSMS Geometry Seminar 20221230] Morphism spaces between coisotropic A-branes qsms 2022.12.27 2986
9 [QSMS Geometry Seminar 2022-05-17, 19] Symplectic Criteria on Stratified Uniruledness of Affine Varieties and Applications qsms 2022.05.09 3108
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