Kolloquien SS 2025
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Montag, 30.06.2025: Inhomogeneous Laplace equation on modular surface
Ksenia Fedosova
Low-energy expansion of scattering amplitudes of elementary particles arising in string theory are often linked to an inhomogeneous Laplace equation. For example, for the IIB string theory in 10+1 dimensions and scattering of 4-gravitons, the equation is the inhomogeneous Laplace equation on the modular surface, where the inhomogeneous part contains products of Eisenstein series. In this talk, we discuss how to solve this partial differential equation. Additionally, from asymptotic behavior of its solutions we obtain exact identities for infinite convolution sums of even divisor functions weighted by Laurent polynomials with logarithms.
| Uhrzeit: | 17:15 |
| Ort: | N14 |
| Gruppe: | Kolloquium |
| Einladender: | Deitmar |
Montag, 21.07.2025: Asymptotic Stability of Solitons
Prof. Jonas Lührmann (Texas A&M)
Many wave phenomena in nature, from water waves to light pulses in optical fibers, can be described by nonlinear dispersive equations. Among their solutions, solitons are particularly remarkable: they are localized waves that retain their shape as they travel, behaving almost like particles despite being waves. In this talk, I will explain what solitons are and why they are important for understanding the long-time behavior of nonlinear dispersive equations. I will also discuss recent progress on the question of the asymptotic stability of solitons in lower-dimensional settings where the strong interactions between solitons and dispersive waves lead to especially rich dynamics.
| Uhrzeit: | 17:15 |
| Ort: | N14 |
| Gruppe: | Kolloquium |
| Einladender: | Teufel |