The talk is based on joint work with Michael Groechenig and
Johan de Jong.
We single out integrality properties of the topological fundamental
group of smooth quasi-projective complex varieties which rely on
the Langlands program (both arithmetic...
Vanishing theorems in complex algebraic geometry, such as the
Kodaira vanishing theorem, play an important role in understanding
the structure of complex algebraic varieties. Ultimately, they rely
on critical input from Hodge theory. After recalling...
(joint work with Martin Kalck) Periods are complex numbers
obtained by integrating algebraic differential forms over
$\mathbf{Q}$ over a domain of algebraic nature. This includes
numbers like $\pi$, $\log(2)$ or the values of the Riemann
zeta...
Report on a paper written during the pandemic joint with Minseon
Shin and Max Lieblich. Some key words: Brauer groups, nontorsion
elements of $\mathrm{H}^2(X, \mathbf{G}_m)$, resolution property,
Jouanolou devices, and derived categories. I will try...
The entropy of supersymmetric black holes in string theory
compactifications can be related to that of a D- or M-brane system,
which in many cases can be further reduced to a two-dimensional
conformal field theory (CFT). For black holes in M-theory...
"Saturons" are macroscopic objects that exhibit maximal
micristate degeneracy within the validity of a given quantum
field theoretic description. Due to this feature, saturons
and black holes belong to the same universality class with common
key...
Let SO(3,R) be the 3D-rotation group equipped with the
real-manifold topology and the normalized Haar measure \mu.
Confirming a conjecture by Breuillard and Green, we show that if A
is an open subset of SO(3,R) with sufficiently small measure,
then...
This is an exciting time for stellar astrophysics as
high-cadence time domain surveys (Gaia, PTF, ZTF, ATLAS, Kepler,
TESS, and, in the near future, the Vera Rubin Observatory) are
revolutionizing the landscape of stellar studies by allowing
the...
