A working group studying theory and applications of the wedge calculus over (Thom-Mather) pseudomanifolds.
Info (Spring 2024)
Altgeld Hall 347, Wednesdays 1-3 PM.
singular-geometry-seminar@lists.illinois.edu
Also on Zoom (link)
Meeting ID: 840 2394 4172
Talks
- May 1, 2024: Wu’s Theorem for Wedge Singularities, Gabriele
- Talk Recording
- April 17, 2024: Generalizing Atiyah-LeBrun for \beta > 1/2, Gabriele
- Talk Recording
- April 10, 2024: Wedge Elliptic Regularity 2: Extending LeBrun’s Work Past the Orbifold Regime, Anthony
- Talk Recording
- April 3, 2024: Seiberg-Witten Invariants and Atiyah-LeBrun’s Generalization, Anthony
- Talk Recording
- March 27, 2024: The Continuity Method (Part 2), Gabriele
- Talk Recording
- Audience notes
- March 20, 2024: The Continuity Method (Part 1), Gabriele
- Talk Recording
- Audience notes
- March 6, 2024: The Wedge Calculus and Wedge Elliptic Regularity, Anthony D’Arienzo
- February 28, 2024: Introduction and Motivation, Gabriele La Nave
- Talk Recording (link)
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
- Rubinstein, Y. A. (2014). Smooth and Singular Kähler–Einstein Metrics. (P. Albin, D. Jakobson, & F. Rochon, Eds.) Geometric and Spectral Analysis. American Mathematical Society.
https://www.math.umd.edu/~yanir/Rubinstein,%20Smooth%20and%20singular%20Kahler–Einstein%20metrics%202014.pdf - Kronheimer, P. B., & Mrowka, T. S. (1993). Gauge theory for embedded surfaces, I. Topology, 32(4), 773–826. https://doi.org/10.1016/0040-9383(93)90051-V
- Kronheimer, P. B., & Mrowka, T. S. (1995). Gauge theory for embedded surfaces, II. Topology, 34(1), 37–97. https://doi.org/10.1016/0040-9383(94)E0003-3