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DTSTART;TZID=America/New_York:20260415T150000
DTEND;TZID=America/New_York:20260415T160000
DTSTAMP:20260417T223351
CREATED:20260403T170808Z
LAST-MODIFIED:20260409T132251Z
UID:10007953-1776265200-1776268800@umaine.edu
SUMMARY:Mathematics Colloquium — Vector vs. Scalar Sup Norms
DESCRIPTION:MAT Colloquium\nWednesday\, April 15\, 2026\nHill Auditorium\, Barrows Hall\nRefreshments at 3:00pm\, Talk 3:15-4:05pm \nSpeaker: Jack Buttcane\, University of Maine \nAbstract: \nRotations in three dimensions depend on three angles\, which we call the Euler angles. A function of the Euler angles can be expressed in terms of Wigner-D matrices\, which are representations of the rotation group SO(3). These matrix functions are strongly tied to quantum mechanics where they measure the probability of a state transition under a rotation\, but as a number theorist\, I am interested in their connection to automorphic forms: Suppose we have a vector-valued function of the 3×3 invertible matrices that transforms by a Wigner-D matrix under rotations. Then an interesting quantity to study is the “sup norm” sup_A ||f(A)||\, i.e. the maximum value of the length of the vector f(A) over 3×3 invertible matrices A. \nWe can also think of the function f as a vector of scalar-valued functions f=(f_{-d}\,…f_d) and for each entry f_j in the vector\, we can consider sup_A |f_j(A)|. The question I want to consider is\, to what extent does the ratio of these two sup norms depend exclusively on the Wigner-D matrix\, independent of the particular function f? As an undergraduate summer research project Andrii Obertas did some computations on this project and I’ll report on the outcome of those\, as well.
URL:https://umaine.edu/calendar/event/mathematics-colloquium/
LOCATION:Barrows Hall\, University of Maine\, Orono\, ME\, 04469\, United States
CATEGORIES:Lectures & Seminars
ORGANIZER;CN="Department of Mathematics & Statistics":MAILTO:mathstats@maine.edu
GEO:44.897732;-68.6687076
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DTSTART;TZID=America/New_York:20260408T150000
DTEND;TZID=America/New_York:20260408T160000
DTSTAMP:20260417T223351
CREATED:20260331T182200Z
LAST-MODIFIED:20260331T182200Z
UID:10007938-1775660400-1775664000@umaine.edu
SUMMARY:Mathematics Colloquium - Some geometric inequalities for convex hypersurfaces
DESCRIPTION:MAT Colloquium\nWednesday\, April 8\, 2026\nHill Auditorium\, Barrows Hall\nRefreshments at 3:00pm\, Talk 3:15-4:05pm \nSpeaker: James Dibble\, University of Southern Maine \nAbstract: A classical family of problems in differential geometry involves bounding certain geometric quantities\, such as volume or the length of the shortest closed geodesic\, in terms of others. In this talk\, we will discuss a variety of such inequalities\, including new ones for convex hypersurfaces. The focus will be on results that can be stated without making reference to how quickly a space curves. This is joint work with Joseph Hoisington.
URL:https://umaine.edu/calendar/event/mathematics-colloquium-some-geometric-inequalities-for-convex-hypersurfaces/
LOCATION:Barrows Hall\, University of Maine\, Orono\, ME\, 04469\, United States
CATEGORIES:Lectures & Seminars,Student Activities
ORGANIZER;CN="Department of Mathematics & Statistics":MAILTO:mathstats@maine.edu
GEO:44.897732;-68.6687076
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DTSTART;TZID=America/New_York:20260406T110000
DTEND;TZID=America/New_York:20260406T140000
DTSTAMP:20260417T223351
CREATED:20260305T183149Z
LAST-MODIFIED:20260305T183149Z
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SUMMARY:Dissertation Defense: Liam O'Brien
DESCRIPTION:Liam O’Brien\, a candidate for the Doctor Philosophy in Interdisciplinary Studies (Building Science)\, will be defending his dissertation titled\, “Hygrothermal and Energetic Performance Assessment of Wall and Roof Assemblies Insulated with Wood Fiber in North American Climates.” \nFor zoom link and password\, please contact the student at: liam.obrien@maine.edu
URL:https://umaine.edu/calendar/event/dissertation-defense-liam-obrien/
LOCATION:Barrows Hall\, University of Maine\, Orono\, ME\, 04469\, United States
CATEGORIES:Student Activities
ORGANIZER;CN="Graduate School":MAILTO:graduate@maine.edu
GEO:44.897732;-68.6687076
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DTSTART;TZID=America/New_York:20250904T133000
DTEND;TZID=America/New_York:20250904T150000
DTSTAMP:20260417T223351
CREATED:20250902T205623Z
LAST-MODIFIED:20250902T205623Z
UID:10003161-1756992600-1756998000@umaine.edu
SUMMARY:Distinguished Lecture Series: Dr. Alon Harris
DESCRIPTION:Building Bridges Across Sciences and Humanities to Preserve Vision \nExplore how vascular risk factors impact primary open angle glaucoma and discover cutting edge imaging tools like OCTA. This session highlights AI\, machine learning\, and modeling as transformative tools for diagnosing eye and systemic diseases\, paving the way for personalized AI driven medicine. \nDr. Alon Harris serves as the Vice Chair of International Research and Academic Affairs\, CoDirector of the Center for Ophthalmic Artificial Intelligence and Human Health\, Director of the Ophthalmic Vascular Diagnostic and Research Program at Mount Sinai Hospital.
URL:https://umaine.edu/calendar/event/distinguished-lecture-series-dr-alon-harris/
LOCATION:Barrows Hall\, University of Maine\, Orono\, ME\, 04469\, United States
CATEGORIES:Lectures & Seminars
ORGANIZER;CN="Maine College of Engineering and Computing":MAILTO:mcec@maine.edu
GEO:44.897732;-68.6687076
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