Index Theory and Complex Geometry

(16 Aug 2021–27 Aug 2021)

Organizing Committee



  • Fei Han (National University of Singapore)

Contact Information

General Enquiries: ims(AT)
Scientific Aspects Enquiries: mathanf(AT)


Interactions between people working in Index Theory and Complex Geometry are increasing. One of the reasons is that although researchers use different tools and techniques, their studies have profound connections and are understandable to people from both sides. Sharing experiences and techniques is an opportunity for them to accelerate collaboration works. Index Theory and Complex Geometry recently both have spectacular developments. In this program, we plan to dig out more materials on complex geometry side of global analysis led by recent development on geometric hypoelliptic Laplacians.

Another focus of our program will be the interaction of analytic localization technique in local index theory and complex geometry, for example, the study of Bergman Kernel.We expect that recent works in complex geometry, on pluripotential theory, the Hormander L2 method and the study of Bergman kernels would have many things to share with index theory.


Conference on Complex Analysis and Geometry16–20 August 2021View
Conference on Index Theory and Related Topics23–27 August 2021N/A


Online event
Registration is required.


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Given the current restrictions on movement, due to the ongoing pandemic, all talks and discussion sessions will be held virtually. Registration is required for this program. Registered participants will receive the links to participate in the virtual activities.

Speakers (16–20 August 2021)

  • Fabrizio Bianchi, University of Lille, France
  • Judith Brinkschulte, University of Leipzig, Germany
  • Hoang-Son Do, Vietnam Academy of Science and Technology, Vietnam
  • Peter Ebelfelt, University of California San Diego, USA
  • Teng Fei, Rutgers University - Newark, USA
  • Hendrik Herrmann, Bergische Universität Wuppertal, Germany
  • Chin-Yu Hsiao, Institute of Mathematics, Academia Sinica, Taiwan
  • Xiaojun Huang, Rutgers University, USA
  • Jun-Muk Hwang, Institute for Basic Science, Korea
  • Eiji Inoue, RIKEN, Japan
  • Lucas Kaufmann, Institute for Basic Science, Korea
  • Sung Yeon Kim, Hanyang University, Korea
  • Qifeng Li, Institute for Basic Science, Korea
  • Kefeng Liu, University of California, Los Angeles, USA
  • George Marinescu, University of Cologne, Germany
  • Nordine Mir, Texas A&M University, Qatar
  • Nguyen Viet-Anh, University of Lille, France
  • Nguyen Ngoc-Cuong, Korea Advanced Institute of Science and Technology (KAIST), Korea
  • Keiji Oguiso, The University of Tokyo, Japan
  • Yûsuke Okuyama, Kyoto Institute of Technology, Japan
  • Luca Rizzi, The University of Tokyo, Japan
  • Min Ru, University of Houston, USA
  • Nikhil Savale, University of Cologne, Germany
  • Nessim Sibony, Université Paris-Saclay, France (to be confirmed)
  • Laurent Stolovitch, Université Côte d'Azur, France
  • Ben Weinkove, Northwestern University, USA
  • Song-Yan Xie, Academy of Mathematics and Systems Science, China
  • Xiangyu Zhou, Academy of Mathematics and Systems Science, China

Speakers (23–27 August 2021)



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Monday, 16 August 2021 08:00 George Marinescu On the singularities of the Bergman projections for lower energy forms on complex manifolds with boundary
Monday, 16 August 2021 09:00 Judith Brinkschulte Dynamical aspects of holomorphic foliations with ample normal bundle
Monday, 16 August 2021 12:00 Xiangyu Zhou Siu's lemma: generalizations and applications
Monday, 16 August 2021 13:00 Peter Ebelfelt Obstruction flat rigidity of the standard CR 3-sphere.
Tuesday, 17 August 2021 08:00 Yûsuke Okuyama Parabolic bifurcation loci in the dynamical moduli spaces of rational functions
Tuesday, 17 August 2021 09:00 Fabrizio Bianchi Higher bifurcations for polynomial skew products
Tuesday, 17 August 2021 12:00 Sung Yeon Kim TBA
Tuesday, 17 August 2021 13:00 Xiaojun Huang TBA
Wednesday, 18 August 2021 08:00 Teng Fei A geometric flow for Type IIA superstrings
Wednesday, 18 August 2021 09:00 Viet-Anh Nguyen Positive plurisubharmonic currents: Generalized Lelong numbers and Tangent theorems
Wednesday, 18 August 2021 12:00 Kefeng Liu Solving equations with Hodge theory.
Wednesday, 18 August 2021 13:00 Ben Weinkove The Chern-Ricci flow
Thursday, 19 August 2021 08:00 Nordine Mir Finite jet determination of CR maps of positive codimension
Thursday, 19 August 2021 09:00 Laurent Stolovitch Geometry of hyperbolic Cauchy-Riemann singularities and KAM-like theory for holomorphic involutions
Thursday, 19 August 2021 12:00 Chin-Yu Hsiao TBA
Thursday, 19 August 2021 13:00 Min Ru Nevanlinna hyperbolicity for complex manifolds
Friday, 20 August 2021 08:00 Jun-Muk Hwang Minimal rational curves and 1-flat irreducible G-structures
Friday, 20 August 2021 09:00 Keiji Oguiso Some aspects of real form problem of a smooth complex projective variety
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