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Maps, quasimaps, sheaves and covers
Algebraic Geometry and Number Theory| Speaker: | Denis Nesterov, University of Vienna |
| Location: | MSB 2112 |
| Start time: | Wed, Apr 26 2023, 4:10PM |
Moduli spaces of maps from smooth curves to a target variety admit various compactifications. One such compactification is provided by celebrated Gromov compactness theorem and is given by maps from nodal curves (Gromov-Witten theory). For particular types of target varieties, quasimaps, sheaves (Donaldson-Thomas theory) and covers (Hurwitz theory) are three other alternatives. We will discuss wall-crossings between these compactifications on threefolds of the type Surface x Curve. The wall-crossings give rise to interesting correspondences between associated enumerative invariants.