BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Departmental Colloquium//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Departmental Colloquium - Spring 2021 X-WR-CALDESC:Departmental Colloquium at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20210119T160000-kristin-devleming@math.utah.edu DTSTART;TZID=America/Denver:20210119T160000 DTEND;TZID=America/Denver:20210119T170000 DTSTAMP:20260922T150858Z SUMMARY:Comparing compactifications of moduli spaces DESCRIPTION:Speaker: Kristin DeVleming\, University of California San Diego\n\nA foundational goal in algebraic geometry is the classification of all varieties, which are locally vanishing loci of polynomials. To make this problem tractable, one fixes discrete invariants like dimension or genus of the variety, and then studies continuous families of varieties with those … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210121T160000-man-wai-cheung@math.utah.edu DTSTART;TZID=America/Denver:20210121T160000 DTEND;TZID=America/Denver:20210121T170000 DTSTAMP:20260922T150858Z SUMMARY:Counting tropical curves by quiver representation DESCRIPTION:Speaker: Man-Wai Cheung\, Harvard University\n\nMikhalkin established the correspondence between holomorphic curves and tropical curves on toric surfaces. Tropical curve (disk) counts are then seen as the algebro-geometric analogue holomorphic disk countings in mirror symmetry. The invariants are heavily used in the mirror construction. On the … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210126T160000-harold-blum@math.utah.edu DTSTART;TZID=America/Denver:20210126T160000 DTEND;TZID=America/Denver:20210126T170000 DTSTAMP:20260922T150858Z SUMMARY:Moduli spaces of Fano varieties and K-stability DESCRIPTION:Speaker: Harold Blum\, Stony Brook University\n\nAlgebraic geometry is focused on the study of algebraic varieties, which are shapes cut out by polynomial equations. A fundamental problem in the field is to construct and study spaces that parametrize algebraic varieties of a given type, referred to as moduli spaces. The quintessential example of … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210128T160000-junliang-shen@math.utah.edu DTSTART;TZID=America/Denver:20210128T160000 DTEND;TZID=America/Denver:20210128T170000 DTSTAMP:20260922T150858Z SUMMARY:The P=W conjecture and hyper-Kähler geometry DESCRIPTION:Speaker: Junliang Shen\, Massachussetts Institute of Technology\n\nTopology of Hitchin's integrable systems and character varieties play important roles in many branches of mathematics. In 2010, de Cataldo, Hausel, and Migliorini discovered a surprising phenomenon which relates these two very different geometric objects in an unexpected way. More precisely, they … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210202T160000-tony-yue-yu@math.utah.edu DTSTART;TZID=America/Denver:20210202T160000 DTEND;TZID=America/Denver:20210202T170000 DTSTAMP:20260922T150858Z SUMMARY:Non-archimedean mirror symmetry and its applications DESCRIPTION:Speaker: Tony Yue Yu\, Université Paris-Sud\n\nMirror symmetry is one of the most mysterious dualities in mathematics. My research explores a new approach to mirror symmetry, via non-archimedean geometry. I will give an overview of the recent progress in this direction. I will talk about non-archimedean enumerative geometry, the Frobenius … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210218T160000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20210218T160000 DTEND;TZID=America/Denver:20210218T170000 DTSTAMP:20260922T150858Z SUMMARY:Anti-racism in mathematics: Who, what, when, where, why, and how? DESCRIPTION:Speaker: speaker\, Bryn Mawr University\n\nThe Black Lives Matter movement, and many like it, has garnered widespread support for dismantling the racist structures woven into the fabric of our society at large. The academic discipline of mathematics--alongside many institutions of higher education--has also reached a point of reckoning in … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210225T160000-frank-calegari@math.utah.edu DTSTART;TZID=America/Denver:20210225T160000 DTEND;TZID=America/Denver:20210225T170000 DTSTAMP:20260922T150858Z SUMMARY:Recent progress in the arithmetic of the Langlands Program DESCRIPTION:Speaker: Frank Calegari\, University of Chicago\n\nChoose a random polynomial with integer coefficients, say x^3 + 1 or x^5 + x + 1. If you choose a prime number p, what is the probability that the values of these polynomials will be squares modulo p? Half the time? More than half the time? Less? Some of these elementary questions ultimately lead to … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210304T160000-jinchao-xu@math.utah.edu DTSTART;TZID=America/Denver:20210304T160000 DTEND;TZID=America/Denver:20210304T170000 DTSTAMP:20260922T150858Z SUMMARY:Deep Learning, Finite Element and Multigrid DESCRIPTION:Speaker: Jinchao Xu\, Pennsylvania State University\n\nIn this talk, I will first give an elementary introduction to models and algorithms from two different fields: (1) machine learning, including logistic regression and deep neural networks, and (2) numerical PDEs, including finite element and multigrid methods. I will then explore mathematical … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210311T160000-gilad-lerman@math.utah.edu DTSTART;TZID=America/Denver:20210311T160000 DTEND;TZID=America/Denver:20210311T170000 DTSTAMP:20260922T150858Z SUMMARY:Group Synchronization via Cycle-Edge Message Passing DESCRIPTION:Speaker: Gilad Lerman\, University of Minnesota\n\nThe problem of group synchronization asks to recover states of objects associated with group elements given possibly corrupted relative state measurements (or group ratios) between pairs of objects. This problem arises in important data-related tasks, such as structure from motion, simultaneous … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210316T160000-ila-varma@math.utah.edu DTSTART;TZID=America/Denver:20210316T160000 DTEND;TZID=America/Denver:20210316T170000 DTSTAMP:20260922T150858Z SUMMARY:Number field asymptotics and Malle's Conjecture DESCRIPTION:Speaker: Ila Varma\, University of Toronto\n\nMalle's conjecture can be thought of as a generalization of the inverse Galois problem, which asks for every finite group G, is there a number field K such that their Galois group over Q is isomorphic to G? Although open, this question is widely believed to be true, and Malle went further to predict … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210401T160000-tatiana-toro@math.utah.edu DTSTART;TZID=America/Denver:20210401T160000 DTEND;TZID=America/Denver:20210401T170000 DTSTAMP:20260922T150858Z SUMMARY:How do Partial Differential Equations detect Geometry in Euclidean space? DESCRIPTION:Speaker: Tatiana Toro\, University of Washington\n\nIn this talk we will present an area of analysis that is concerned with the relationship between differential operators, the properties of their solutions, and the geometry of the domain on which they are considered. The goal is to highlight how analytic properties of solutions to PDEs determine the … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210406T160000-ryan-hynd@math.utah.edu DTSTART;TZID=America/Denver:20210406T160000 DTEND;TZID=America/Denver:20210406T170000 DTSTAMP:20260922T150858Z SUMMARY:A conjecture of Meissner DESCRIPTION:Speaker: Ryan Hynd\, University of Pennsylvania\n\nA curve of constant width has the property that any two parallel supporting lines are the same distance apart in all directions. A fundamental problem involving these curves is to find one which encloses the smallest amount of area for a given width. This problem was resolved long ago and has a few … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210408T160000-aaron-pollack@math.utah.edu DTSTART;TZID=America/Denver:20210408T160000 DTEND;TZID=America/Denver:20210408T170000 DTSTAMP:20260922T150858Z SUMMARY:Modular forms on exceptional groups DESCRIPTION:Speaker: Aaron Pollack\, University of California San Diego\n\nClassical holomorphic modular forms are intensely studied objects. They are generalized to automorphic forms, which are associated to reductive groups G. When G is an exceptional group, such as E_8, one can ask if there are special automorphic forms on G, which can in some ways take the place of the … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210422T160000-greg-forest@math.utah.edu DTSTART;TZID=America/Denver:20210422T160000 DTEND;TZID=America/Denver:20210422T170000 DTSTAMP:20260922T150858Z SUMMARY:Modeling insights into SARS-CoV-2 respiratory tract infections DESCRIPTION:Speaker: Greg Forest\, The University of North Carolina at Chapel Hill\n\nInsights into the mechanisms and dynamics of human respiratory tract (HRT) infections from the SARS-CoV-2 virus can inform public awareness as well as guide medical prevention and treatment for COVID-19 disease. Yet, the complex physiology of the human lung and the inability to sample diverse … LOCATION:JWB 335 URL:https://www.math.utah.edu/research/colloquia/2021-spring/ END:VEVENT END:VCALENDAR