We consider regularized versions of the stochastic heat equation (SHE) in high dimensions $d\\geq 3$ and analyze their higher moments in the limit as the regularization is removed, for varying coupling constants that describe the strength of the driving noise. Motivated by recent results on the higher moments of the SHE in two dimensions at $L^{2}$-criticality, a natural question is whether the higher moments of the SHE in high dimensions also converge at the $L^{2}$-critical point. Our main result gives a negative answer: in high dimensions, the higher moments diverge when the coupling constant belongs to a nontrivial right-closed interval whose upper endpoint is the $L^{2}$-critical point. In particular, we obtain a sharp bound for the critical coupling constant at which the corresponding limiting higher moment undergoes a phase transition. As an application to the continuous directed polymer, we derive a sharp estimate for quantity believed to be closely related to the tail probability of the limiting partition function.
","image_description":"","creation_date":"2025-09-12T13:47:07","last_modification_date":"2026-03-30T15:59:29","link_label":"Working-Reading Seminar","link_url":"https://www.epfl.ch/labs/stoan/reading-working-seminar/","canceled":"False","cancel_reason":"","place_and_room":"MA B2 485","url_place_and_room":"","url_online_room":"","spoken_languages":["https://memento.epfl.ch/api/v1/spoken_languages/2/?format=json"],"speaker":"Dr Te-Chun Wang (EPFL)","organizer":" Xue-Mei Li","contact":"Xue-Mei Li","is_internal":"False","theme":"","vulgarization":{"id":3,"fr_label":"Expert","en_label":"Expert"},"registration":{"id":3,"fr_label":"Entrée libre","en_label":"Free"},"keywords":"Reading-Working Seminar","file":null,"icalendar_url":"https://memento.epfl.ch/event/export/117635/","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/403/?format=json","https://memento.epfl.ch/api/v1/mementos/7/?format=json","https://memento.epfl.ch/api/v1/mementos/6/?format=json"]},{"id":69379,"title":"Clinical Research & Product Development in Pharma and Biotech [CAS Management in Life Sciences 2026]","slug":"clinical-research-product-development-in-pharma-an","event_url":"https://memento.epfl.ch/event/clinical-research-product-development-in-pharma-an","visual_url":"https://memento.epfl.ch/image/30892/200x112.jpg","visual_large_url":"https://memento.epfl.ch/image/30892/720x405.jpg","visual_maxsize_url":"https://memento.epfl.ch/image/30892/max-size.jpg","lang":"en","start_date":"2026-04-14","end_date":"2026-04-16","start_time":null,"end_time":null,"description":"Module 4: Clinical Research & Product Development in Pharma and BiotechThesis Director: Prof. B. T. A. Lecampion,
\r\nMechanics doctoral program
\r\nThesis Nr. 11652
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\r\nTo take part in the public defense, please contact directly the speaker
You can apply to participate and find all the relevant information (speakers, abstracts, program,...) on the event website: https://www.cecam.org/workshop-details/challenges-in-modelling-ion-channels-simulations-meet-experiments-1369.
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\r\nRegistration is required to attend the full event, take part in the social activities and present a poster at the poster session (if any). However, the EPFL community is welcome to attend specific lectures without registration if the topic is of interest to their research. Do not hesitate to contact the CECAM Event Manager if you have any question.
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\r\nDescription
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\r\nThe human genome includes more than 300 genes coding for ion channel proteins, representing approximately 2% of the total number of genes. This abundance of ion channels highlights their critical role in numerous biological processes and their involvement in diseases, underscoring their importance as potential drug targets. Ion channels exert their biological roles through three main functional characteristics: the highly efficient selective conduction of ions; the capacity to open and close in response to chemical/physical stimuli (gating); and the decrease in conductance upon sustained stimuli (inactivation). In the last 20 years, the number of experimental atomic structures of ion channels has increased from a few units to hundreds, now including representative structures for most of the ion channel families. Simulations based on these experimental structures have significantly contributed to the current understanding of conduction, selectivity, gating, and inactivation [1-2]. Strengthening the quantitative agreement between simulations and experiments is now essential for advancing in this field. This effort is currently hampered by common issues in biomolecular simulations, such as the limited timescales for observing biologically relevant events and the sub-optimal accuracy of the underlying physical models. Both of these shortcomings are expected to be mitigated by recent methodological developments. For instance, atomic simulations of ion channels with polarizable force fields have been recently reported [3]. Lack of polarization is a well-known limitation of classical force fields, especially when describing ion-protein and ion-water interactions in a crowded environment like the pore cavity. Consequently, the usage of polarizable force fields is considered a promising strategy for improving the agreement with experimental data about ion conduction and selectivity. An alternative strategy for enhancing the model accuracy in critical channel regions is to combine molecular mechanics with quantum approaches. Thanks to the ever-increasing computational resources, now combined with advancements in codes for hybrid QM/MM models, this approach is becoming feasible for ion channel research [4]. Increasing computational resources, coupled with improved algorithms for accelerating rare events and potentially harnessing machine learning, are also opening new possibilities in the study of state transitions. Gating and inactivation events of ion channels are finally becoming accessible to atomic simulations, offering important insights into the mechanistic functioning of this important protein superfamily [5]. The proposed workshop will foster further developments in the field by bringing together leading scientists in the experimental methodologies and computational techniques used in ion channel research in a stimulating and collaborative environment.
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\r\nReferences
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\r\n[1] E. Flood, C. Boiteux, B. Lev, I. Vorobyov, T. Allen, Chem. Rev., 119, 7737-7832 (2019)
\r\n[2] C. Guardiani, F. Cecconi, L. Chiodo, G. Cottone, P. Malgaretti, L. Maragliano, M. Barabash, G. Camisasca, M. Ceccarelli, B. Corry, R. Roth, A. Giacomello, B. Roux, Advances in Physics: X, 7, (2022)
\r\n[3] V. Ngo, H. Li, A. MacKerell, T. Allen, B. Roux, S. Noskov, J. Chem. Theory Comput., 17, 1726-1741 (2021)
\r\n[4] F. Schackert, J. Biedermann, S. Abdolvand, S. Minniberger, C. Song, A. Plested, P. Carloni, H. Sun, J. Chem. Inf. Model., 63, 1293-1300 (2023)
\r\n[5] S. Pérez-Conesa, L. Delemotte, Free energy landscapes of KcsA inactivation, 2023
The notion of semi-abelian category, introduced by G. Janelidze, L. Márki and W. Tholen in 2002, generalizes that of abelian category, and captures the homological properties that the categories of groups, associative algebras, Lie algebras and cocommutative Hopf algebras over a field have in common. Internal structures behave surprisingly well in semi-abelian categories. For example, any internal reflexive graph admits at most one internal category structure, and the categories of internal categories and internal groupoids are isomorphic. Moreover, the category of internal groupoids is equivalent to the category of internal crossed modules. The notion of internal crossed module in any semi-abelian category was introduced by G. Janelidze in 2003, and recovers in particular the classical notion of crossed module of groups. The fact that the category of internal groupoids in a semi-abelian category is itself semi-abelian implies that also the category of internal n-fold groupoids is well-behaved.
\r\n
\r\nIn this talk, I will prove that the full subcategory of internal n-groupoids in a semi-abelian category is a Birkhoff subcategory of the category of internal n-fold groupoids, and provide a simple description of the corresponding reflection for n=2. In the abelian context, the internal n-groupoids yield a torsion-free subcategory of the category of internal n-fold groupoids, and it is possible to characterize (higher) central extensions and compute generalized Hopf formulae for homology.
\r\n
\r\nPart of this talk is based on joint work with Marino Gran
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Triple S (Super Sandwich Seminar) will feature 3 speakers per week, each presenting for 15 minutes, followed by a 5 minutes Q&A session.
","image_description":"","creation_date":"2025-12-16T15:47:27","last_modification_date":"2026-02-26T17:14:16","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":"David Domjan, Thomä Lab; Estelle Deby, Karthaus Lab; Arthur Samurkas, Van der Goot Lab","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/119047/","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/26/?format=json","https://memento.epfl.ch/api/v1/mementos/9/?format=json","https://memento.epfl.ch/api/v1/mementos/6/?format=json","https://memento.epfl.ch/api/v1/mementos/111/?format=json"]},{"id":71158,"title":"Lemanic Life Sciences Hackathon 2026","slug":"lemanic-life-sciences-hackathon-2026","event_url":"https://memento.epfl.ch/event/lemanic-life-sciences-hackathon-2026","visual_url":"https://memento.epfl.ch/image/32528/200x112.jpg","visual_large_url":"https://memento.epfl.ch/image/32528/720x405.jpg","visual_maxsize_url":"https://memento.epfl.ch/image/32528/max-size.jpg","lang":"en","start_date":"2026-04-16","end_date":"2026-04-18","start_time":"09:00:00","end_time":"21:00:00","description":"Join us for the third edition of the Lemanic Life Sciences Hackathon!
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\r\nOrganized by EPFL School of Life Sciences, EPFL AI Center and the University of Bern, we aim to bring together clinicians, life scientists, and data scientists to test ideas, drive innovation, and tackle real-world challenges in healthcare and research.
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\r\nExplore the untapped potential of AI in life sciences and clinical research\r\n
TBA
","image_description":"","creation_date":"2026-03-02T09:46:57","last_modification_date":"2026-03-02T09:50:51","link_label":"","link_url":"https://www.epfl.ch/schools/sb/research/math/statistics-seminars/","canceled":"False","cancel_reason":"","place_and_room":"CM 1 517","url_place_and_room":"https://plan.epfl.ch/?room==CM%201%20517","url_online_room":"","spoken_languages":["https://memento.epfl.ch/api/v1/spoken_languages/2/?format=json"],"speaker":"Sam Allen, KIT","organizer":"Rajita Chandak","contact":"Maroussia Schaffner","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":"","file":null,"icalendar_url":"https://memento.epfl.ch/event/export/119928/","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/5/?format=json","https://memento.epfl.ch/api/v1/mementos/6/?format=json","https://memento.epfl.ch/api/v1/mementos/7/?format=json","https://memento.epfl.ch/api/v1/mementos/288/?format=json"]},{"id":71560,"title":"Growth and Dissolution Mechanisms of Siderite Scale on Iron under Environmental Transients","slug":"growth-and-dissolution-mechanisms-of-siderite-sc-2","event_url":"https://memento.epfl.ch/event/growth-and-dissolution-mechanisms-of-siderite-sc-2","visual_url":"https://memento.epfl.ch/image/32897/200x112.jpg","visual_large_url":"https://memento.epfl.ch/image/32897/720x405.jpg","visual_maxsize_url":"https://memento.epfl.ch/image/32897/max-size.jpg","lang":"en","start_date":"2026-04-17","end_date":"2026-04-17","start_time":"16:00:00","end_time":null,"description":"Thesis Directors: Dr. S. Mischler, Dr A. N. Igual Muñoz
\r\nMaterials Science and Engineering doctoral program
\r\nThesis Nr. 11619
\r\n
\r\nTo take part in the public defense, please contact directly the speaker