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Informal Geometric Analysis Seminar (2024.09-2025.06)

ORGANIZED BY: D. Cristofaro-Gardiner, T. Darvas, Y. A. Rubinstein, Y. Liu
DATE: Tuesdays at 3:30 PM.
ROOM: MTH 1313.
PREVIOUS YEARS

The seminar aims to be a relaxed forum for researchers and graduate students interested in geometric analysis, and students of all levels are encouraged to attend and ask questions. Talks will focus on the "big picture" and key ideas and encourage interaction. Talks will be in the format: 30-minute talks followed by a ~ 15-30 minute discussion.

2024 Fall

  • September 10, joint with Hopkins-Maryland geometry seminar (special time and place: 4.40pm--5.40pm, MATH 3206)

    • Speaker: Zbigniew Blocki (Jagiellonian University)

    • Title: \bar\partial and ODEs

    • Abstract: Hörmander's L^2-estimate for \bar\partial and its generalizations can be used to construct holomorphic functions and prove various quantitative results in several complex variables. We will present some known and new \bar\partial-estimates and their relations with ODEs.

  • September 17

    • Speaker: Yueqing Feng (Berkeley)

    • Title: A gluing construction of constant scalar curvature Kähler metrics of Poincaré type

    • Abstract: In this talk, we construct new examples of constant scalar curvature Kähler(cscK) metrics of Poincaré type from existing cscK ones. The construction is obtained via gluing a cscK metric on a compact Kähler manifold to a complete scalar-flat Kähler metric of Poincaré type on $\mathbb{C}^n$ removing the origin. Assuming the compact Kähler manifold has no non-trivial holomorphic vector field, we prove the existence of cscK metrics of Poincaré type on this compact manifold removing finitely many points.

  • October 22

    • Speaker: Junsheng Zhang (SLMath)

    • Title: Complete Calabi--Yau metrics and singular Kähler--Einstein metrics asymptotic to cones

    • Abstract: We relate the geometry of complete Calabi--Yau metrics and singular Kähler--Einstein metrics to their tangent cones under certain assumption on the curvature. Building on Donaldson--Sun’s 2-step degeneration theory, we proved an asymmetric phenomenon between the global and local setting. Part of the talk is based on joint work with Song Sun.

  • November 19 (10-11am, not usual time)

    • Speaker: Graham Andrew Smith (PUC-Rio)

    • Title: TBA

    • Abstract: TBA

  • November 19, 4am

    • Speaker: Zbigniew Blocki (Jagiellonian University)

    • Title: TBA

    • Abstract: TBA

  • November 26, Thanksgiving break, no talk.

  • December 10

    • Speaker: Paolo Piazza

    • Title: TBA

    • Abstract: TBA

2025 Spring

Driving and parking directions to UMD: Park in Paint Branch Drive Visitor Lot (highlighted in yellow in the lower right corner of the second map in the previous link), or in Regents Drive Garage (highlighted in the upper right corner). If you arrive after 4pm you do not need to pay: see the instructions in the previous link.