| Date | Speaker | Topic |
|---|---|---|
| Wed, January 5 | n/a | no meeting |
| Mon, January 10, 4pm | n/a | organization |
| Wed, January 12, 3pm | Jen Beichman | Spectral Theory of Bounded Operators |
| Mon, January 17, 4pm | Jen Beichman | Spectral Theory of Compact Bounded Operators |
| Wed, January 19, 3pm | Joe Roberts | An application of spectral theory to PDE |
| Mon, January 24, 4pm | Jeff Calder | Spectral Resolution of Bounded Linear operators I |
| Wed, January 26, 3pm | Tim Ferguson | Spectral Resolution of Bounded Linear Operators II |
| Mon, January 31, 4pm | Joe Roberts | An application of spectral resolution to PDE |
| Wed, February 2, 3pm | Dan DeWoskin | postponed |
| Mon, February 7, 4pm | Dan DeWoskin | Spectral Resolution of Symmetric and Unitary Operators (rescheduled from last week) |
| Wed, February 9, 3pm | no talk | no talk |
| Mon, February 14, 4pm | Matthew Masarik | Application of Stone's Theorem and Formula to the Wave Equation. Abstract: We will consider the Cauchy problem for the wave equation with compactly supported initial data in a general spherically symmetric black hole geometry. Our goal will be to apply Stone's Theorem and Stone's Formula to obtain a representation formula for the solution. |
| Wed, February 16, 3pm | Rafe Kinsey | An Application of Spectral Theory to the Heat Operator |
| Mon, February 21, 4pm | Tim Ferguson | Wolff's Solution to the Corona Problem |
| Wed, February 23, 3pm | n/a | (Tentative) Planning meeting for second half of semester talk |
| Wed, March 9, 3pm | Jen Beichman | Intro to/History of Calculus of Variations, Euler-Lagrange Equations |
| Mon, March 14, 4pm | Matthew Masarik | My talk will consist of a brief historical account of the brachistochrone problem, followed by a brief solution. Then I'll move on to discuss the link between Lagrangians and conservation laws, ending with an application to the wave equation. |
| Wed, March 16, 3pm | Rafe Kinsey | Calculus of Variations: The Direct Method, Existence |
| Mon, March 21, 4pm New Room for Mondays: 3088 EH | Joe Roberts | Calculus of Variations: The Direct Method, Regularity |
| Wed, March 23, 3pm | Jeff Calder | Minimal Surfaces |
| Mon, March 28, 4pm New Room for Mondays: 3088 EH | Benson Muite | Some interesting examples in the scalar and vectorial cases. Abstract: We give a survey of some interesting examples in the calculus of variations. We also discuss motivation for and possible means of weakening the convexity assumption in the calculus of variations. |
| Mon, April 3, 4pm New Room for Mondays: 3088 EH | Jen Beichman | Relevant Facts about NLS, and Motivation for Morawetz Estimates |
| Wed, April 5, 3pm | Nate Totz/Jen Beichman | The Viriel Identity. |
| Mon, April 10, 4pm New Room for Mondays: 3088 EH | Nate Totz | Viriel Identity and Morawetz Estimates, Part II |
| Wed, April 12, 3pm | Jen Beichman | An Application of Morawetz estimates to scattering for cubic, defocusing NLS |