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Letter from J. Ohage to Robert P. Harris, 1887
Creator:
Ohage, J.
Created:
1887
Contributed By:
University of Minnesota Libraries, Owen H. Wangensteen Historical Library of Biology and Medicine.
Page Count:
2
Last Updated:
2022-02-04
Letter from J. Ohage to Robert P. Harris, 1887
(1) Energies and residues of manifolds and configuration saces of polygons
Description:
This is an introduction to the lectures and the tutorials. We will study different topics, differential geometric topic using analysis for the lectures and topological topics with numerical experiments for the tutorials. A survey for the knot energies will also be given.
Creator:
O'Hara, Jun (Chiba University)
Created:
2019-06-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:
2022-04-22
(1) Energies and residues of manifolds and configuration saces of polygons
(2) Energy of knots and regularization of divergent integrals
Description:
We begin with the generalization of electrostatic energy of charged knots, where we come across the difficulty of divergent integrals. Two kinds of regularization will be introduced, Hadamard regularization and the regularization via analytic continuation, both from the theory of generalized functions.
Creator:
O'Hara, Jun (Chiba University)
Created:
2019-06-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:
2022-04-22
(2) Energy of knots and regularization of divergent integrals
(3) Hadamard regularization and regularization via analytic continuation
Description:
We will see that Hadamard regularization and the regularization via analytic continuation give essentially the same information. This part is rather technical, although it will save complicated computation afterward.
Creator:
O'Hara, Jun (Chiba University)
Created:
2019-06-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:
2022-04-22
(3) Hadamard regularization and regularization via analytic continuation
(4) How to define energies and residues of manifolds (From analysis to geometry)
Description:
We apply the regularization via analytic continuation to generalized Riesz energies of submanifolds in Euclidean spaces to obtain Brylinski's beta function, which is a meromorphic function with simple poles. We study geometric information that can be derived from Brylinski's beta function.
Creator:
O'Hara, Jun (Chiba University)
Created:
2019-06-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:
2022-04-22
(4) How to define energies and residues of manifolds (From analysis to geometry)
(5) Mobius invariant metric on the knot space
Description:
A method to construct M\"obius invariant weighted inner products on the tangent spaces of the knot space by using M\"obius invariant knot energies will be introduced. It gives M\"obius invariant gradients of such energies."
Creator:
O'Hara, Jun (Chiba University)
Created:
2019-06-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:
2022-04-22
(5) Mobius invariant metric on the knot space
Group discussion (Topic: What we learned and what we still have questions about. Format: Record observations by participants either on the board or on a projected display, but in real time. )
Creator:
O'Hara, Kathleen (Mathematical Sciences Research Institute)
Created:
2009-04-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Last Updated:
2018-06-19
Group discussion (Topic: What we learned and what we still have questions about. Format: Record observations by participants either on the board or on a projected display, but in real time. )
High school grad's : 18 to 26 : fly : with the : navy
Description:
Image of pilot in cockpit of warplane
Creator:
O'Hare
Created:
1939 - 1945
Contributed By:
University of Minnesota Libraries, Upper Midwest Literary Archives.
Last Updated:
2017-12-18
High school grad's : 18 to 26 : fly : with the : navy
Interview with Margaret Deirdre O'Hartigan
Description:
Margaret Deirdre O'Hartigan is an Irish Catholic transsexual woman, transsexual health and rights activist, writer, and retired secretary and typesetter living in Portland, Oregon. Prior to her retirement, O'Hartigan was involved in a number of trans civil rights and nondiscrimination campaigns in Oregon, Washington, and Minnesota, including suc...
Creator:
O'Hartigan, Margaret Deirdre (interviewee)
Contributor:
Billund-Phibbs, Myra (interviewer, project manager, and transciber)
Created:
2022-04-06
Contributed By:
University of Minnesota Libraries, Jean-Nickolaus Tretter Collection in Gay, Lesbian, Bisexual and Transgender Studies.
Page Count:
2
Last Updated:
2022-04-11
Interview with Margaret Deirdre O'Hartigan
Railroad map of Ohio
Creator:
Ohio. State Commissioners of Public Printing
Contributor:
Sherman, C. E; Turnbull, W. D; Fulton, W. D; New Columbus Lithograph Company
Created:
1918
Contributed By:
University of Minnesota Libraries, John R. Borchert Map Library.
Page Count:
2
Last Updated:
2021-06-17
Railroad map of Ohio