Geometric Analysis Seminar at BICMR

Academic Year 2026-27

Fall Semester

Organizers: Gang Tian, Xiaohua Zhu, Bin Zhou, Jianchun Chu

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The seminar usually holds on Wednesday from 9:00-10:00 online. For more details, please visit here.

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Schedule

• Wednesday, September 9, 9:00-10:00, Zoom link (ID: 830 0216 4749, Code: 752097)
  Antoine Song (California Institute of Technology) - On the geometry of large sets - Abstract

  I will talk about what happened behind the resolution of Talagand's convexity conjecture (with Dongming Merrick Hua and Stefan Tudose) and propose new directions, in particular a Riemannian version of the conjecture for manifolds with nonnegative Ricci curvature.

  
  

• Wednesday, September 16, 9:00-10:00, Zoom link (ID: 834 6727 7014, Code: 440423)
  Biao Ma (East China Normal University) - Gårding polynomials and applications in PDEs and Combinatorics - Abstract

  Motivated by the classical hyperbolic polynomials and Caffarelli-Nirenberg-Spruck theory, we introduce Gårding and ideal Gårding polynomials to capture the ellipticity and convexity features that appear in fully nonlinear PDEs. I will discuss some interesting properties and their connections to real stable and Lorentzian polynomials. Applications in fully nonlinear PDEs and combinatorics will be discussed, including a new Liouville type Theorem, Rayleigh inequalities and log-concavity for matroids and graphs. This talk is based on joint works with Hao Fang and Jinyang Wu.

  
  

• Wednesday, September 23, 15:00-16:00 (Special time), Zoom link (ID: 838 5510 7596, Code: 544440)
  Harish Seshadri (Indian Institute of Science) - Holomorphic sectional curvature and volume - Abstract

  I will outline the proof of a sharp volume comparison theorem and the corresponding rigidity result for compact Kahler manifolds with positive holomorphic sectional curvature. This approach also gives Kewei Zhang's sharp volume estimate for compact Kahler manifolds with positive Ricci curvature.

  
  

• Wednesday, September 30, 9:00-10:00, Zoom link (ID: TBA, Code: TBA)
  Bo Yang (Xiamen University) - TBA - Abstract

  TBA

  
  

• Wednesday, October 14, 9:00-10:00, Zoom link (ID: TBA, Code: TBA)
  Shrey Aryan (Massachusetts Institute of Technology) - TBA - Abstract

  TBA

  
  

• Wednesday, October 21, 9:00-10:00, Zoom link (ID: TBA, Code: TBA)
  Xuwen Zhu (Northeastern University) - TBA - Abstract

  TBA

  
  

• Wednesday, November 4, 9:00-10:00, Zoom link (ID: TBA, Code: TBA)
  TBA - TBA - Abstract

  TBA

  
  

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Schedule for the past years:

      2021-22 Fall       2021-22 Spring       2022-23 Fall       2022-23 Spring       2023-24 Fall       2023-24 Spring       2024-25 Fall       2024-25 Spring       2025-26 Fall       2025-26 Spring