Aktuelles

Dienstag, 23.05.2023: LCA-groups/Solid groups

Hannah Markwig/Victoria Schleis

Seminar on Condensed Mathematics, Tea at 13:45 in C5A26

Uhrzeit:	14:15
Ort:	C9A03
Gruppe:	OSAZ

Donnerstag, 25.05.2023: Gotzmann's persistence theorem for smooth projective toric varieties

Patience Ablett (Warwick)

Gotzmann's regularity and persistence theorems provide tools which allow us to find explicit equations for the Hilbert scheme Hilb_P(P^n). A natural generalisation is the multigraded Hilbert scheme Hilb_P(X) of a smooth projective toric variety X. In 2003 Maclagan and Smith generalise Gotzmann's regularity theorem to this case. We present new persistence type results for the product of two projective spaces, and time permitting discuss how these may be applied to a more general smooth projective toric variety.

Uhrzeit:	13:00 - 14:00
Ort:	TBA
Gruppe:	Oberseminar kombinatorische algebraische Geometrie
Einladender:	Daniele Agostini, Hannah Markwig

Donnerstag, 25.05.2023: Localization theory for propagation of quantum information

Jingxuan Zhang (University of Copenhagen)

For a large class of quantum dynamics that are known to lack strict light cones, we prove the existence of effective light cones, obtain explicit upper bounds on the maximal propagation speed of quantum information, and derive long-time decay estimates for the probability leakage away from the effective light cones. Our method, geometric in nature, is based on monotonicity estimates and adiabatic approximations using certain observables that identify the spacetime localization property of evolving states. If time permits, we will briefly sketch the applications to continuous Markovian open quantum systems and long-range interacting many-body quantum systems.

Uhrzeit:	14:30
Ort:	C3N14
Gruppe:	Oberseminar Mathematical Physics
Einladender:	Capel, Keppeler, Lemm, Pickl, Teufel, Tumulka