BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Departmental Colloquium//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Departmental Colloquium - Fall 2024 X-WR-CALDESC:Departmental Colloquium at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20240919T160000-aaron-j.-bertram@math.utah.edu DTSTART;TZID=America/Denver:20240919T160000 DTEND;TZID=America/Denver:20240919T170000 DTSTAMP:20260922T150858Z SUMMARY:Three is a Crowd: A Benjamin Button Colloquium DESCRIPTION:Speaker: Aaron J. Bertram\, University of Utah\n\nThree is harder than two, and not just when dealing with human beings and celestial bodies. The complexity increases dramatically when we pass from line segments (two-gons) to triangles, from circles (bivalent graphs) to trivalent graphs and from quadratic forms to cubic forms on a complex vector … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20241003T160000-daniel-sanz-alonso@math.utah.edu DTSTART;TZID=America/Denver:20241003T160000 DTEND;TZID=America/Denver:20241003T170000 DTSTAMP:20260922T150858Z SUMMARY:Ensemble Kalman Methods and Structured Operator Estimation DESCRIPTION:Speaker: Daniel Sanz-Alonso\, University of Chicago\n\nData assimilation is concerned with estimating the state of a dynamical system from partial observations. In applications such as numerical weather prediction where the state is high dimensional and the dynamics are expensive to simulate, ensemble Kalman filters are often the method of choice. In … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20241017T160000-qiang-ye@math.utah.edu DTSTART;TZID=America/Denver:20241017T160000 DTEND;TZID=America/Denver:20241017T170000 DTSTAMP:20260922T150858Z SUMMARY:Preconditioning for Accelerated Gradient Descent Optimization and Regularization DESCRIPTION:Speaker: Qiang Ye\, University of Kentucky\n\nAccelerated training algorithms, such as adaptive learning rates and various normalization methods, are widely used in deep learning but not fully understood. When regularization is introduced, standard optimizers like adaptive learning rates may not perform effectively. This raises the need for … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20241114T160000-jack-xin@math.utah.edu DTSTART;TZID=America/Denver:20241114T160000 DTEND;TZID=America/Denver:20241114T170000 DTSTAMP:20260922T150858Z SUMMARY:Lagrangian and Game Theoretic Methods for Multi-scale and Multi-Dimensional Problems DESCRIPTION:Speaker: Jack Xin\, UC Irvine\n\nIn this talk, we discuss some recent development of Lagrangian and game theoretic (i.e. stochastic and two-player control generalizations of the method of characteristics) approaches for multi-scale and multi-dimensional reaction-diffusion-advection equations. Through two case studies, we show how … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20241121T160000-jody-reimer-/-ken-golden@math.utah.edu DTSTART;TZID=America/Denver:20241121T160000 DTEND;TZID=America/Denver:20241121T170000 DTSTAMP:20260922T150858Z SUMMARY:A Journey to the Arctic: Mathematical Modelers Meet Real-World Ice DESCRIPTION:Speaker: Jody Reimer / Ken Golden\, University of Utah\n\nIn May 2024, a team of seven mathematics students, led by Jody Reimer and Ken Golden, embarked on a 10-day journey to Utqiaġvik, Alaska. This expedition, a cornerstone of the Applied Math NSF RTG program, offered these young researchers a unique opportunity to witness firsthand the dynamic and … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20241205T160000-chandrashekhar-khare@math.utah.edu DTSTART;TZID=America/Denver:20241205T160000 DTEND;TZID=America/Denver:20241205T170000 DTSTAMP:20260922T150858Z SUMMARY:Modularity of Galois representations: from Ramanujan to Wiles DESCRIPTION:Speaker: Chandrashekhar Khare\, UCLA\n\nI will give a historically motivated account of the connection between modular forms and Galois theory. Ramanujan's 1916 paper "On some arithmetical functions" led to a series of developments that led to the proof of Fermat's Last Theorem: one can draw a line from Ramanujan's paper, to the … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2024-fall/ END:VEVENT END:VCALENDAR