Topic: 
tba 
Date: 
01.02.21 
Time: 
16:15 
Place: 
cyberspace 
Guest: 

GoetheUniversität Frankfurt 

Abstract: 

Contact person: 
Topic: 
The problem of latency in estimating the Covid19 replication number 
Date: 
08.05.20 
Time: 
16:15 
Place: 
ZOOM/Konferenzschaltung 
Guest: 

University of Texas at Austin 

Abstract: 
Figuring out how to restart the world's economy without a resurgence of disease depends on understanding how contagious Covid19 really is. However, estimates of the basic replication number $R_0$ vary greatly, with wellrespected groups publishing estimates whose 95% confidence intervals don't even overlap. In this talk I'll go over the basic SIR and SEIR models of disease spread and present several different ways to treat the latency period between being exposed and becoming infectious. Simple SEIR models are unstable; working with a fixed set of data, small changes to the model can result in large changes to the estimated value of $R_0$. More realistic models are more complicated and are even less stable. The upshot is that we know much less about $R_0$ than is generally believed, and the error bars on the high side are particularly large. Containing the outbreak for an extended period may be a lot harder than our leaders think. 
Contact person: 
Topic: 
Inconsistency of an inflationary sector coupled only (minimally) to gravity 
Date: 
17.09.20 
Time: 
14:15 
Place: 
cyberspace 
Guest: 

IFIC Valencia 

Abstract: 
The inflationary sector might very well have no direct couplings to other species, apart from inevitable gravitational interactions. In the context of General Relativity, a thermal universe can still emerge after inflation if i) a radiation sector is excited towards the end of inflation, and ii) the equation of state after inflation becomes sufficiently stiff $w > 1/3$. In such circumstances, the inflationary background of gravitational waves (GWs) is significantly enhanced, making this signal (potentially) observable by GW detectors. I will discuss first how LIGO and LISA could measure this signal, probing in this way the expansion rate of the early Universe. Secondly, I will show that the very same enhancement of the GW signal leads however to an inconsistency of the scenario, violating standard bounds on stochastic backgrounds of GWs. Finally, I will show that the very existence of the Standard Model Higgs can actually save the day, by simply requiring the Higgs to be nonminimally coupled to gravity. 
Contact person: 
Topic: 
Evaluation der Genauigkeit des TschebyscheffAlgorithmus zur Bestimmung thermodynamischer Funktionen am Beispiel einer HeisenbergSpinLeiter 
Date: 
11.09.20 
Time: 
14:00 
Place: 
ZOOM / Konferenzschaltung 
Guest: 

Universität Bielefeld 

Abstract: 
Es wird eine Einführung in die numerische Berechnung thermodynamischer Funktionen mithilfe des TschebyscheffAlgorithmus gegeben. Anschließend findet eine Bewertung der Ergebnisse am Beispiel einer HeisenbergSpinLeiter in Abhängigkeit der TschebyscheffParameter statt. 
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Topic: 
Statistics of Extremes in Eigenvaluecounting Staircases 
Date: 
04.06.20 
Time: 
16:00 
Place: 
ZOOM / Konferenzschaltung 
Guest: 

King's College London 

Abstract: 
We consider the counting function (“spectral staircase”) for eigenvalues of a random unitary matrix, drawn from the corresponding betaensemble. Our goal is to characterize the statistics of maximum deviation of this staircase from its mean slope in a fixed interval, when size of the matrix N >>1. We will show that onesided extremes can be addressed by exploiting a mapping onto the statistical mechanics of logcorrelated random processes and using an extended FisherHartwig conjecture. The resulting statistics exhibits combined features of counting statistics of Fermions with Sutherlandtype interaction and extremal statistics of the fractional Brownian motion with Hurst index H = 0. Some of the features are expected to be universal. The talk is based on the paper FyodorovLe Doussal arXiv:2001.04135. 
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Topic: 
Product matrix processes via symmetric functions 
Date: 
23.09.20 
Time: 
09:00 
Place: 
ZOOM / Konferenzschaltung 
Guest: 

The Hebrew University of Jerusalem 

Abstract: 
I will explain how the theory of symmetric functions can be applied to product matrix processes with symplectic and orthogonal invariance. These product matrix processes can be understood as scaling limits of Macdonald processes introduced by Borodin and Corwin. The relation with Macdonald processes enables to generalize the recent KieburgKuijlaarsStivigny formula for products of truncated unitary matrices to symplectic and orthogonal symmetry classes, and to obtain the joint law of squared singular values for products of truncations of Haar distributed symplectic and orthogonal matrices. Based on joint work with Andrew Ahn. 
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