https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
강연자 황준호
소속 서울대학교
date 2021-09-02

 

A fundamental result in number theory is that, under certain linear actions of arithmetic groups on homogeneous varieties, the integral points of the varieties decompose into finitely many orbits.

For a classical example, the set of integral binary quadratic forms of fixed nonzero discriminant consists of finitely many orbits under action of the modular group SL2(Z).

In this talk, we discuss certain classes of algebraic varieties with inherently nonlinear group actions, for which analogous finite generation results for integral points can be established or conjectured.

These varieties arise as various moduli spaces (of local systems on surfaces, Stokes matrices, etc.) in geometry and topology of manifolds, allowing application of external tools to the study of Diophantine problems; the latter will be emphasized in the talk.

 
Atachment
첨부 '1'
  1. 2022-2 Rookies Pitch: Probability Theory (변성수)

  2. Towards Trustworthy Scientific Machine Learning: Theory, Algorithms, and Applications

  3. Elliptic equations with singular drifts in critical spaces

  4. Contact topology of singularities and symplectic fillings

  5. 2022-2 Rookies Pitch: Representation Theory(이신명)

  6. 2022-2 Rookies Pitch: Representation Theory(허태혁)

  7. 2022-2 Rookies Pitch: Harmonic Analysis (오세욱)

  8. 2022-2 Rookies Pitch: Harmonic Analysis (함세헌)

  9. Combinatorics and Hodge theory

  10. 2022-1 Rookies Pitch: Harmonic Analysis (Kalachand Shuin)

  11. 2022-1 Rookies Pitch:Functional Analysis (정민구)

  12. Regularity theory for non-autonomous elliptic equations in divergence form

  13. 2022-1 Rookies Pitch: Algebraic Topology (송종백)

  14. 2022-1 Rookies Pitch: Symplectic/Algebraic Geometry (좌동욱)

  15. <2020년도 젊은 과학자상 수상 기념강연> Metastability of stochastic systems

  16. Geometric Langlands theory: A bridge between number theory and physics

  17. Noise-induced phenomena in stochastic heat equations

  18. 2022-1 Rookies Pitch: Functional Analysis (Wang Xumin)

  19. 2022-1 Rookies Pitch: Probability, PDE (Ramil Mouad)

  20. Mirror symmetry of pairings

Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Next
/ 15