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19 Sep ⚠️Friday⚠️:
Johannes Rau (Universidad de Los Andes, Bogotà):
Counting rational curves over any field
An important problem in enumerative geometry is counting rational curves that interpolate a configuration of points on an algebraic surface. Over the complex numbers, the answer does not depend on the configuration of points and is called the Gromov-Witten invariant. In contrast, over the real numbers, this invariance fails. To recover it, Welschinger invented an “sign” rule that gives rise to Welschinger invariants. Recently, Kass, Levine, Solomon, and Wickelgren constructed an invariant over an (almost) arbitrary field. The small “inconvenience” is that these latter invariants are no longer numbers, but quadratic forms. In a current work with Erwan Brugallé and Kirsten Wickelgren, we establish direct relationships between these different types of invariants. In my talk, I want to give an introduction to this topic.
2-3 Oct MathPolo 2025
A Mathematical Bridge Between Nanjing and Rome*
7 Oct Ulrich Derenthal (Leibniz Universität Hannover)
14 Oct Oscar Kivinien (Aalto University)
21 Oct
28 Oct
4 Nov Sebastian Velazquez (King's College London)
11 Nov
18 Nov
25 Nov
1 Dec
9 Dec
16 Dec
🎄 Christmas break
13 Jan Emmanuel Kowalski (ETH Zürich)
* since you like algebraic geometry you might also be interested in
These talks are part of the activity of the MIUR Excellence Department Projects MathMod@TOV, Prin 2022 Moduli Spaces and Birational Geometry and Prin PNRR 2022 Mathematical Primitives for Post Quantum Digital Signatures
Organizing Committee
Giulio Codogni (codogni@mat.uniroma2.it), Franncesca Carocci (carocci@mat.uniroma2.it), Guido Lido (lido@mat.uniroma2.it)
Past seminars:
Seminars 2024-25
Seminars 2023-24
Seminars 2022-23
Seminars 2021-22
Older Seminars
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