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Extra Form
Lecturer 권명기
Dept. 순천대학교
date Sep 29, 2022


For an isolated singularity, the intersection with a small sphere forms a smooth manifold, called the link of a singularity. It admits a canonical contact structure, and this turns out to be a fine invariant of singularities and provides an interesting playground to explore relationships between contact topology and singularity theory. In this talk, we briefly introduce results on contact topology of singularities in terms of exotic contact spheres, uniqueness of symplectic fillings, and Floer theory.
Atachment
Attachment '1'
  1. Existence of positive solutions for φ-Laplacian systems

  2. Essential dimension of simple algebras

  3. Equations defining algebraic curves and their tangent and secant varieties

  4. Entropy of symplectic automorphisms

  5. Entropies on covers of compact manifolds

  6. Elliptic equations with singular drifts in critical spaces

  7. Diophantine equations and moduli spaces with nonlinear symmetry

  8. Descent in derived algebraic geometry

  9. Deformation spaces of Kleinian groups and beyond

  10. Creation of concepts for prediction models and quantitative trading

  11. Counting number fields and its applications

  12. Counting circles in Apollonian circle packings and beyond

  13. Convex and non-convex optimization methods in image processing

  14. 04Oct
    by 김수현
    in Math Colloquia

    Contact topology of singularities and symplectic fillings

  15. Contact instantons and entanglement of Legendrian links

  16. Contact Homology and Constructions of Contact Manifolds

  17. Conservation laws and differential geometry

  18. Connes's Embedding Conjecture and its equivalent

  19. Connectedness of a zero-level set as a geometric estimate for parabolic PDEs

  20. Congruences between modular forms

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