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| Name | EMGW05 | Dr. Johannes Schmitt | Logarithmic double-ramification cycles |
| Video Uploader | Video From INI Seminar Room 1 |
| Upload Date | This Video Uploaded At 02-07-2024 11:13:15 |
| Video Discription | Speaker: Dr Johannes Schmitt (ETH Zürich) Date: 21st Jun 2024 - 11:30 to 12:30 Venue: INI Seminar Room 1 Title: Logarithmic double-ramification cycles Event: (EMGW05) Moduli stacks and enumerative geometry Abstract: 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. ------------------- FOLLOW US 🌐| Website: https://www.newton.ac.uk 🎥| Main Channel: https://www.youtube.com/@isaacnewtoninstitute 🐦| Twitter: https://twitter.com/NewtonInstitute 💬| Facebook: https://www.facebook.com/newton.institute 📷| Instagram: https://www.instagram.com/isaacnewtoninstitute 🔗| LinkedIn: https://www.linkedin.com/company/isaac-newton-institute-for-mathematical-sciences SEMINAR ROOMS 🥇| INI Seminar Room 1: https://www.youtube.com/@iniseminarroom1 🥈| INI Seminar Room 2: https://www.youtube.com/@iniseminarroom2 🛰️| INI Satellite Events: https://www.youtube.com/@inisatellite ABOUT The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period. 👉 Learn more about us and our events here: https://www.newton.ac.uk vkvwnGs0x8M |
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