https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
Lecturer Raphael Ponge
Dept. 서울대학교
date Sep 22, 2011
A general goal of noncommutative geometry (in the sense of A. Connes) is to translate the main tools of differential geometry into the Hilbert space formalism of quantum mechanics by taking advantage of the familiar duality between spaces and algebras. In this setting noncommutative spaces are only represented through noncommutative algebras that play formally the role of algebras of functions on these (ghost) noncommutative spaces.?As?a?result,?this allows us to deal with a variety of geometric problems whose noncommutative nature prevent us from using tools of classical differential geometry. In particular, the Atiyah-Singer index theorem untilmately holds in the setting of noncommutative geometry.
The talk will be an overview of the subject with a special emphasis on quantum space-time and diffeomorphism invariant geometry. In particular, if time is permitted, ?it is planned to allude to recent projects in biholomorphism invariant geometry of complex domains and contactomorphism invariant geometry of contact manifolds.
Atachment
Attachment '1'
  1. Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures

  2. Conformal field theory and noncommutative geometry

  3. 극소곡면의 등주부등식

  4. Topology of configuration spaces on graphs

  5. 학부생을 위한 강연회: What is the algebraic number theory?

  6. 정년퇴임 기념강연회: 숙제

  7. Integer partitions, q-series, and Modular forms

  8. Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms

  9. 학부생을 위한 강연: 브라질과 프랑스는 왜 축구를 잘 할까? - 경제와 수학과 축구와 법률

  10. A new view of Fokker-Planck equations in finite and Infinite dimensional spaces

  11. 원의 유리매개화에 관련된 수학

  12. Introduction to Non-Positively Curved Groups

  13. 07Nov
    by Editor
    in Math Colloquia

    Noncommutative Geometry. Quantum Space-Time and Diffeomorphism Invariant Geometry

  14. 행렬함수 Permanent의 극소값 결정과 미해결 문제들

  15. The Mathematics of the Bose Gas and its Condensation

  16. Codimension Three Conjecture

  17. 학부생을 위한 강연: 건축과 수학

  18. Classical and Quantum Probability Theory

  19. Iwasawa main conjecture and p-adic L-functions

  20. 학부생을 위한 강연: Choi's orthogonal Latin Squares is at least 61 years earlier than Euler's

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