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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Logarithmic double-ramification cycles

## Logarithmic double-ramification cyclesAdd to your list(s) Download to your calendar using vCal - Johannes Schmitt (ETH Zürich)
- Friday 21 June 2024, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. EMGW05 - Moduli stacks and enumerative geometry Inside the moduli space of smooth pointed curves, the double-ramification locus is cut out by the condition that the curve admits a meromorphic function with given zero and pole orders at the marked points. When trying to compactify this cycle over the whole moduli space of stable curves, it turns out that the compactification naturally lives inside an iterated boundary blow-up of the moduli space. This leads to the notion of logarithmic Chow groups, describing the intersection theory of all such blow-ups simultaneously. In the talk I will explain this story and describe how stability conditions on line bundles can be used to calculate a formula for the logarithmic compactification of the double-ramification locus. This is joint work with D. Holmes, S. Molcho, R. Pandharipande and A. Pixton. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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