User Tools
events:2026:researchsession3
Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
events:2026:researchsession3 [2026/10/11 14:10] ez_yildiz |
events:2026:researchsession3 [2026/10/11 14:26] (current) ez_yildiz |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| ===== Research Session on Real, Tropical, and Symplectic Geometry, and Low-Dimensional Manifolds ===== | ===== Research Session on Real, Tropical, and Symplectic Geometry, and Low-Dimensional Manifolds ===== | ||
| =====(Oct 1-Oct 10, 2026)===== | =====(Oct 1-Oct 10, 2026)===== | ||
| + | |||
| The research session will focus on recent progress and new challenges in tropical, symplectic, and real algebraic geometry, as well as the study of 4-dimensional smooth manifolds. Topics will include classical problems concerning (complex or real) plane singular curves, the analysis of separating morphisms of real curves, theta-characteristics of real curves, Lagrangian and Legendrian embeddings, and refined enumerative invariants. Additionally, | The research session will focus on recent progress and new challenges in tropical, symplectic, and real algebraic geometry, as well as the study of 4-dimensional smooth manifolds. Topics will include classical problems concerning (complex or real) plane singular curves, the analysis of separating morphisms of real curves, theta-characteristics of real curves, Lagrangian and Legendrian embeddings, and refined enumerative invariants. Additionally, | ||
| + | |||
| + | {{: | ||
| === List of Participants === | === List of Participants === | ||
| Line 14: | Line 17: | ||
| === List of Talks === | === List of Talks === | ||
| ^Speaker | ^Speaker | ||
| - | |Sergey Finashin | **Wall-crossing invariant counting of real lines and other rational curves on rational surfaces** \\ This is a joint project with V.Kharlamov. Our “integral sign counting” of real rational real algebraic curves (combination of Welschinger invariants) produces a bivariant sequence of wall-crossing invariants, which are defined using real conic bundle structures and Pin structures on surfaces, but eventually are independent not only of their choices, but also of the real structure on a rational surface. I made a historical motivating introduction tracing the subject from the classical count of lines on real cubic surfaces.| | + | |Sergey Finashin | **Wall-crossing invariant counting of real lines and other rational curves on rational surfaces** \\ This is a joint project with V.Kharlamov. Our “integral sign counting” of real rational real algebraic curves (combination of Welschinger invariants) produces a bivariant sequence of wall-crossing invariants, which are defined using real conic bundle structures and Pin structures on surfaces, but eventually are independent not only of their choices, but also of the real structure on a rational surface. I gave a historical motivating introduction tracing the subject from the classical count of lines on real cubic surfaces.| |
| |Ilia Itenberg | **Two rules of signs in enumeration of real curves**\\ The main goal of the talk is to relate two different Welschinger-type signs that were used for definition of real enumerative invariants of toric surfaces (the invariants considered being relative to the toric boundary). The relation between the two signs intertwines Grigory Mikhalkin' | |Ilia Itenberg | **Two rules of signs in enumeration of real curves**\\ The main goal of the talk is to relate two different Welschinger-type signs that were used for definition of real enumerative invariants of toric surfaces (the invariants considered being relative to the toric boundary). The relation between the two signs intertwines Grigory Mikhalkin' | ||
| |Grigory Mikhalkin | **Real θ-characteristics on algebraic curves **\\ In the talk we looked at an explicit description of the quadratic form corresponding to a real θ-characteristic on an algebraic curve (via the corresponding spin-structure). We also considered some applications of this new description, | |Grigory Mikhalkin | **Real θ-characteristics on algebraic curves **\\ In the talk we looked at an explicit description of the quadratic form corresponding to a real θ-characteristic on an algebraic curve (via the corresponding spin-structure). We also considered some applications of this new description, | ||
events/2026/researchsession3.1791717056.txt.gz · Last modified: 2026/10/11 14:10 by ez_yildiz
Page Tools
