This paper studies optimal financial flexibility in debt issuance. A borrower raises funds for an initial investment and may need financing after observing a private liquidity shock. Under non exclusive lending, new lenders price only their claims, so additional borrowing dilutes existing debt and leads to excessive leverage. The optimal simple debt contract is an endogenous debt limit. It captures the intertemporal commitment–flexibility tradeoff: more borrowing today fi nances investment but increases dilution incentives, requiring tighter limits on future borrowing. Richer clauses, including performance-sensitive debt and contingent prepayment provisions, re store the exclusive-lending benchmark by compensating existing lenders when new financing is raised.
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\r\nAfter quickly recalling the usual categorical semantics of extensional Martin-Löf type theory within locally cartesian closed category, the plan is to present some useful ideas to carry over some of the argument to the higher setting. Specifically, I will discuss the process of turning an elementary higher topos into a model of HoTT, and sketch important ideas used to prove the internal language conjecture for locally cartesian closed (∞,1)-categories.
\r\n
\r\n
Title TBA
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","image_description":"","creation_date":"2026-10-01T19:29:55","last_modification_date":"2026-10-01T19:32:36","link_label":"","link_url":"","canceled":"False","cancel_reason":"","place_and_room":"CH G1 495","url_place_and_room":"https://plan.epfl.ch/?room==CH%20G1%20495","url_online_room":"","spoken_languages":["https://memento.epfl.ch/api/v1/spoken_languages/2/?format=json"],"speaker":"Tobias Lau (Helmholtz-Zentrum Berlin) ","organizer":"Christoph Bostedt","contact":"christoph.bostedt@epfl.ch","is_internal":"False","theme":"","vulgarization":{"id":2,"fr_label":"Public averti","en_label":"Informed public"},"registration":{"id":3,"fr_label":"Entrée libre","en_label":"Free"},"keywords":"pcseminar","file":null,"icalendar_url":"https://memento.epfl.ch/event/export/122025/","category":{"id":1,"code":"CONF","fr_label":"Conférences - Séminaires","en_label":"Conferences - Seminars","activated":true},"academic_calendar_category":null,"domains":[],"mementos":["https://memento.epfl.ch/api/v1/mementos/5/?format=json","https://memento.epfl.ch/api/v1/mementos/14/?format=json"]},{"id":72741,"title":"PChem Seminar - Malte Rösner","slug":"pchem-seminar-malte-rosner","event_url":"https://memento.epfl.ch/event/pchem-seminar-malte-rosner","visual_url":"https://memento.epfl.ch/image/33956/200x112.jpg","visual_large_url":"https://memento.epfl.ch/image/33956/720x405.jpg","visual_maxsize_url":"https://memento.epfl.ch/image/33956/max-size.jpg","lang":"en","start_date":"2026-12-03","end_date":"2026-12-03","start_time":"17:00:00","end_time":"19:00:00","description":"Title TBA
","image_description":"","creation_date":"2026-10-01T19:33:00","last_modification_date":"2026-10-01T19:35:38","link_label":"","link_url":"","canceled":"False","cancel_reason":"","place_and_room":"CH G1 495","url_place_and_room":"https://plan.epfl.ch/?room==CH%20G1%20495","url_online_room":"","spoken_languages":["https://memento.epfl.ch/api/v1/spoken_languages/2/?format=json"],"speaker":"Malte Rösner (University of Bielefeld, Germany) ","organizer":"Nikita Kavokine","contact":"nikita.kavokine@epfl.ch","is_internal":"False","theme":"","vulgarization":{"id":2,"fr_label":"Public averti","en_label":"Informed public"},"registration":{"id":3,"fr_label":"Entrée libre","en_label":"Free"},"keywords":"pcseminar","file":null,"icalendar_url":"https://memento.epfl.ch/event/export/122026/","category":{"id":1,"code":"CONF","fr_label":"Conférences - Séminaires","en_label":"Conferences - Seminars","activated":true},"academic_calendar_category":null,"domains":[],"mementos":["https://memento.epfl.ch/api/v1/mementos/5/?format=json","https://memento.epfl.ch/api/v1/mementos/14/?format=json"]},{"id":72742,"title":"PChem Seminar - Camila Bacellar","slug":"pchem-seminar-camila-bacellar","event_url":"https://memento.epfl.ch/event/pchem-seminar-camila-bacellar","visual_url":"https://memento.epfl.ch/image/33957/200x112.jpg","visual_large_url":"https://memento.epfl.ch/image/33957/720x405.jpg","visual_maxsize_url":"https://memento.epfl.ch/image/33957/max-size.jpg","lang":"en","start_date":"2026-12-10","end_date":"2026-12-10","start_time":"17:00:00","end_time":"19:00:00","description":"Title TBA
","image_description":"","creation_date":"2026-10-01T19:35:51","last_modification_date":"2026-10-01T19:38:16","link_label":"","link_url":"","canceled":"False","cancel_reason":"","place_and_room":"CH G1 495","url_place_and_room":"https://plan.epfl.ch/?room==CH%20G1%20495","url_online_room":"","spoken_languages":["https://memento.epfl.ch/api/v1/spoken_languages/2/?format=json"],"speaker":"Camila Bacellar (PSI, SwissFEL) ","organizer":"Christoph Bostedt","contact":"christoph.bostedt@epfl.ch","is_internal":"False","theme":"","vulgarization":{"id":2,"fr_label":"Public averti","en_label":"Informed public"},"registration":{"id":3,"fr_label":"Entrée libre","en_label":"Free"},"keywords":"pcseminar","file":null,"icalendar_url":"https://memento.epfl.ch/event/export/122027/","category":{"id":1,"code":"CONF","fr_label":"Conférences - Séminaires","en_label":"Conferences - Seminars","activated":true},"academic_calendar_category":null,"domains":[],"mementos":["https://memento.epfl.ch/api/v1/mementos/5/?format=json","https://memento.epfl.ch/api/v1/mementos/14/?format=json"]},{"id":72744,"title":"PChem Seminar - Adrien Noury","slug":"pchem-seminar-adrien-noury","event_url":"https://memento.epfl.ch/event/pchem-seminar-adrien-noury","visual_url":null,"visual_large_url":null,"visual_maxsize_url":null,"lang":"en","start_date":"2026-12-17","end_date":"2026-12-17","start_time":"17:00:00","end_time":"19:00:00","description":"Title TBA
","image_description":"","creation_date":"2026-10-01T19:39:06","last_modification_date":"2026-10-01T19:40:57","link_label":"","link_url":"","canceled":"False","cancel_reason":"","place_and_room":"CH G1 495","url_place_and_room":"https://plan.epfl.ch/?room==CH%20G1%20495","url_online_room":"","spoken_languages":["https://memento.epfl.ch/api/v1/spoken_languages/2/?format=json"],"speaker":"Adrien Noury (CNRS, University of Montpellier, France) ","organizer":"Nikita Kavokine","contact":"nikita.kavokine@epfl.ch","is_internal":"False","theme":"","vulgarization":{"id":2,"fr_label":"Public averti","en_label":"Informed public"},"registration":{"id":3,"fr_label":"Entrée libre","en_label":"Free"},"keywords":"pcseminar","file":null,"icalendar_url":"https://memento.epfl.ch/event/export/122030/","category":{"id":1,"code":"CONF","fr_label":"Conférences - Séminaires","en_label":"Conferences - Seminars","activated":true},"academic_calendar_category":null,"domains":[],"mementos":["https://memento.epfl.ch/api/v1/mementos/5/?format=json","https://memento.epfl.ch/api/v1/mementos/14/?format=json"]},{"id":72376,"title":"SUPER SANDWICH SEMINAR","slug":"super-sandwich-seminar-380","event_url":"https://memento.epfl.ch/event/super-sandwich-seminar-380","visual_url":"https://memento.epfl.ch/image/33632/200x112.jpg","visual_large_url":"https://memento.epfl.ch/image/33632/720x405.jpg","visual_maxsize_url":"https://memento.epfl.ch/image/33632/max-size.jpg","lang":"en","start_date":"2026-10-08","end_date":"2026-10-08","start_time":"12:00:00","end_time":"13:00:00","description":"Triple S (Super Sandwich Seminar) will feature three speakers per week, each giving a 15-minute presentation followed by a 5-minute Q&A session.
","image_description":"","creation_date":"2026-08-19T11:41:26","last_modification_date":"2026-08-19T14:19:10","link_label":"","link_url":"","canceled":"False","cancel_reason":"","place_and_room":"SV 1717","url_place_and_room":"https://plan.epfl.ch/?room==SV%201717","url_online_room":"","spoken_languages":["https://memento.epfl.ch/api/v1/spoken_languages/2/?format=json"],"speaker":"Lei Huang, Constam Lab; Nika Gorsek D'Angelo Lab; free slot","organizer":"Prof. Pierre Gönczy","contact":"Lisa Smith, ISREC Administrative Assistant","is_internal":"True","theme":"","vulgarization":{"id":2,"fr_label":"Public averti","en_label":"Informed public"},"registration":{"id":3,"fr_label":"Entrée libre","en_label":"Free"},"keywords":"Super Sandwich, cancer","file":null,"icalendar_url":"https://memento.epfl.ch/event/export/121483/","category":{"id":1,"code":"CONF","fr_label":"Conférences - Séminaires","en_label":"Conferences - Seminars","activated":true},"academic_calendar_category":null,"domains":[],"mementos":["https://memento.epfl.ch/api/v1/mementos/1/?format=json","https://memento.epfl.ch/api/v1/mementos/6/?format=json","https://memento.epfl.ch/api/v1/mementos/8/?format=json","https://memento.epfl.ch/api/v1/mementos/9/?format=json","https://memento.epfl.ch/api/v1/mementos/26/?format=json"]},{"id":72259,"title":"Health Days 2026","slug":"health-days-2026","event_url":"https://memento.epfl.ch/event/health-days-2026","visual_url":"https://memento.epfl.ch/image/33530/200x112.jpg","visual_large_url":"https://memento.epfl.ch/image/33530/720x405.jpg","visual_maxsize_url":"https://memento.epfl.ch/image/33530/max-size.jpg","lang":"en","start_date":"2026-09-28","end_date":"2026-10-08","start_time":null,"end_time":null,"description":"UNIL+EPFL Health Days 2026 invite you to dedicate some time to your physical and mental well-being from 28 September to 8 October. Over the course of these two weeks, a wide range of inspiring conferences, workshops and activities will take place at various times throughout the day. Some events will be open to the general public and offered in French and/or English.
\r\n
\r\nMembers of the university community will be able to take advantage of the health screenings and assessments available at the Health Village, hosted during the first week on the EPFL campus and during the second week on the University of Lausanne campus. They will also have access to information stands run by services and partners committed to promoting a comprehensive, 360-degree approach to health and well-being.
\r\n
\r\nThe programme will be available at the end of August on the dedicated website: https://jours-sante.ch/.
Wave functions describing bound states of electronic systems satisfy high-dimensional Schrödinger equations whose potentials exhibit Coulomb singularities at particle-collision configurations. These singularities generate cusps that limit the global regularity of the wave function in spectral Barron spaces, which are particularly relevant to the analysis of Fourier-based approximation methods and neural networks.
\r\nIn this talk, we study the effect of extracting a truncated Jastrow factor designed to capture the leading coalescence singularities while preserving the asymptotic behavior of the wave function at infinity. We show that the resulting quotient gains one full order of spectral Barron regularity: whereas the original wave function typically belongs to spaces of order (s<1), the Jastrow quotient belongs to those of order (s<2). An explicit hydrogenic example shows that the threshold (s=2) is natural.
\r\nThe proof relies on conjugating the Hamiltonian by the Jastrow factor and carrying out a global Fourier-space analysis. It combines resolvent estimates, precise control of singular coefficients, and a fixed-point argument separating low and high frequencies.
\r\n
\r\n---
\r\nThe electronic structure reading group brings together researchers and students interested in mathematical aspects of electronic structure problems and adjacent topics, including:\r\n