Yanli   Song



Contact Information:

  • Email: songyanl@math.utoronto.ca   ylsong@me.com
  • Address: 40 St. George Stree, Toronto, Ontario, Canada M5S 2E4 
  • Telephone: +14164549011

Positions:

  • 2013.9 -   Postdoctoral Fellow in Mathematics at University of Toronto



Education:

  • 2008-2013 Ph.D, Mathematics, Penn State University, Advisor: Nigel Higson
  • 2004-2008 B.S, Mathematics, Fudan University

Research Interests:

  • Noncommutative geometry
  • Representation theory
  • Symplectic geometry
  • Here is my Research Statement.


Publications:
  1. Peter Hochs and Yanli Song. Equivariant indices of Spinc-Dirac operators for proper moment maps.  57 pages. Duke Mathematical Journal (To appear)
  2. Yanli Song. Dirac oeprators on quasi-Hamiltonian G-spaces. 24 pages,  Journal of Geometry and Physics (To appear)
  3. Peter Hochs and Yanli Song. An equivariant index for proper actions III: the invariant and discrete series indices. 30 pages. Differential geometry and its application (To appear) arXiv: 1412.5348
  4. Nigel Higson and Yanli Song. K-theory and the quantization commutes with reduction problem.  30 pages. Chin. Ann. Math. Ser.B 35, no. 5, 703-732

Preprints:

    1. Peter Hochs and Yanli Song. An equivariant index for proper actions I.  47 pages.  Submitted. 
        arXiv: 1512.07575
    2. Peter Hochs and Yanli Song. An equivariant index for proper actions II: properties and applications. 39 pages.  Submitted. 
        arXiv: 1602.02836
    3. Peter Hochs and Yanli Song. On the Vergne conjecture.  9 pages. Submitted. 
        arXiv: 1509.02425
    4Yanli Song. A K-homological approach to the quantization commutes with reduction problem.  23 pages. Submitted.   
        arXiv: 1404.4840



Recent Talks:

  • Special Week on Operator Algebras, East China Normal University, Jun 2016
  • Great Plains Operator Theory Symposium (GPOTS), UIUC. May 2016
  • Mathematical physics seminar, University of Geneva. Mar 2016.
  • Gone Fishing Meeting on Poisson Geometry, University of Colorado at Boulder. Mar 2016
  • Geometry and physics seminar, Penn State University, Mar 2016.
  • AMS Sectional Meeting, Athens, Georgia. Mar 2016.
  • Wabash Modern Analysis Seminar, Wabsh College. Feb 2016.
  • Noncommutative Geometry Seminar, Western University. Nov 2015.
  • Noncommutative Geometry Seminar, Texas A&M University. Oct 2015.
  • IGA/AMSI Workshop on Geometric Quantization, University of Adelaide. Jul 2015.
  • Workshop on Noncommutative Geometry and Spectral Invariants, UQAM. Jun 2015.
  • CMS Winter Meeting, Hamilton. Apr 2014.
  • Gone Fishing Meeting on Poisson Geometry, University of California at Berkeley. Nov 2014.
  • The 12th East Coast Operator Algebras Symposium, Fields Institute. Oct 2014.
  • CMS Summer Meeting, Winnipeg. Jul 2014.
  • Further Development of Atiyah-Singer Index Theorem and K-theory, University of Kyoto. Dec 2013.
  • Noncommutative Geometry Seminar, Western University. Nov 2013.
  • AMS Sectional Meeting, Washington University at St.Louis. Oct 2013.
  • Cornell-PSU Joint Seminar, Cornell University. Oct 2012.
  • Gone Fishing Meeting on Poisson Geometry, University of California at Los Angeles. Sep 2012.
  • The 4th International Conference on Geometry and Quantization, Chern Institute. Sep 2011.