Extra Form
Lecturer 이승환
Dept. Haafor
date Apr 06, 2017

Modern mathematics with axiomatic systems has been developed to create a complete reasoning system.


This was one of the most exciting mathematical experiments.


However, even after the failure of the experiment, mathematical research is still directed by the vague ideal completeness.


Tight definitions to guarantee logical soundness were good for small toy world, but it could not model complex human knowledge. Perfect prediction of future needs perfect system. By changing the direction from perfection to specific goals, we can build rich world of mathematical systems that can predict the future for given goal. Creation of mathematical concepts needs not be a complex task, but it is one of the most creative task with deep insight for mathematics and real world.

Attachment '1'
  1. Conformal field theory in mathematics

  2. Congruences between modular forms

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

  4. Connes's Embedding Conjecture and its equivalent

  5. Conservation laws and differential geometry

  6. Contact Homology and Constructions of Contact Manifolds

  7. Contact instantons and entanglement of Legendrian links

  8. Contact topology of singularities and symplectic fillings

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

  10. Counting circles in Apollonian circle packings and beyond

  11. Counting number fields and its applications

  12. 12Apr
    by 김수현
    in Math Colloquia

    Creation of concepts for prediction models and quantitative trading

  13. Deformation spaces of Kleinian groups and beyond

  14. Descent in derived algebraic geometry

  15. Diophantine equations and moduli spaces with nonlinear symmetry

  16. Elliptic equations with singular drifts in critical spaces

  17. Entropies on covers of compact manifolds

  18. Entropy of symplectic automorphisms

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

  20. Essential dimension of simple algebras

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