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Singular Geometry Seminar (Spring 2024)

2024-05-01

A working group studying theory and applications of the wedge calculus over (Thom-Mather) pseudomanifolds.

Mailing list: singular-geometry-seminar@lists.illinois.edu

Also on Discord (invite link)

Info (Spring 2024)

Altgeld Hall 347, Wednesdays 1-3 PM.

Also on Zoom (link)

Talks

  • May 1, 2024: Wu's Theorem for Wedge Singularities, Gabriele
  • April 17, 2024: Generalizing Atiyah-LeBrun for $\beta > 1/2$, Gabriele
  • April 10, 2024: Wedge Elliptic Regularity 2: Extending LeBrun's Work Past the Orbifold Regime, Anthony
  • April 3, 2024: Seiberg-Witten Invariants and Atiyah-LeBrun's Generaliation, Anthony
  • March 27, 2024: The Continuity Method (Part 2), Gabriele
  • March 20, 2024: The Continuity Method (Part 1), Gabriele
  • March 6, 2024: The Wedge Calculus and Wedge Elliptic Regularity, Anthony D'Arienzo
  • February 28, 2024: Introduction and Motivation, Gabriele La Nave

Bibliography

  • Donaldson, S. (2011, February 14). Kahler metrics with cone singularities along a divisor. arXiv. http://arxiv.org/abs/1102.1196. Accessed 19 October 2023

  • Arezzo, C., Della Vedova, A., & La Nave, G. (2018). On the Curvature of Conic Kähler–Einstein Metrics. The Journal of Geometric Analysis, 28(1), 265–283. https://doi.org/10.1007/s12220-017-9819-y

  • Albin, P. (2016, March 13). On the Hodge theory of stratified spaces. http://arxiv.org/abs/1603.04106. Accessed 5 March 2024

  • Jeffres, T., Mazzeo, R., & Rubinstein, Y. A. (2016). Kähler—Einstein metrics with edge singularities. Annals of Mathematics, 183(1), 95–176.

  • Atiyah, M., & LeBrun, C. (2013). Curvature, Cones, and Characteristic Numbers. Mathematical Proceedings of the Cambridge Philosophical Society, 155(1), 13–37. https://doi.org/10.1017/S0305004113000169

  • Lebrun, C. (2015). Edges, orbifolds, and Seiberg–Witten theory. Journal of the Mathematical Society of Japan, 67(3). https://doi.org/10.2969/jmsj/06730979

Notes and older references