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Autumn Semester 2025

Date / Time Speaker Title Location
25 September 2025
16:00-17:00 		Marie Trin
MPI MIS
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Geometry Graduate Colloquium

Title Curves, measured laminations and geodesic currents on surfaces
Speaker, Affiliation Marie Trin, MPI MIS
Date, Time 25 September 2025, 16:00-17:00
Location HG G 43
ETH Zurich
Abstract Geodesic currents have been introduced by Bonahon in the late 80's and have since proven to provide a good setting to study geometry of surfaces. In this talk we will discuss the notion of curves, measured laminations and then geodesic currents on surfaces and try to give to the audience an insight of those objects. Depending on the time and the preference of the audience we will see how they provide a good setting to study the Thurston compactification of Teichmüller space or Mirzakhani's curves counting.
Curves, measured laminations and geodesic currents on surfacesread_more
HG G 43
ETH Zurich
16 October 2025
16:00-17:00 		Tariq Osman
University of Zurich
Details

Geometry Graduate Colloquium

Title Bounds for Theta sums
Speaker, Affiliation Tariq Osman, University of Zurich
Date, Time 16 October 2025, 16:00-17:00
Location HG G 43
ETH Zurich
Abstract A Theta sum is an exponential sum of the form \[ S_N(x) := \sum_{n=1}^{N} e^{2\pi i n^2 x}, \] where \( x \in [0, 1] \). For given \( x \), we may think of \( S_N \) as a path in the complex plane. We discuss how methods from hyperbolic geometry, and dynamical systems can be used to understand how far such a path can take you from the origin, as a function of \( N \).
Bounds for Theta sums read_more
HG G 43
ETH Zurich
23 October 2025
16:00-17:00 		Maksymilian Manko
University of Zurich
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Geometry Graduate Colloquium

Title 4-dimensional 2-handlebodies and the conjecture of Gompf
Speaker, Affiliation Maksymilian Manko, University of Zurich
Date, Time 23 October 2025, 16:00-17:00
Location HG G 43
ETH Zurich
Abstract While for dimension 3 and lower it is well-known that any compact smooth manifold admits a unique smooth structure, in dimension 4 this is no longer true, giving rise to 4-manifolds admitting multiple ones. The question is, in particular, open for the 4-sphere, wherein it is known as the smooth 4-dimensional Poincaré conjecture. In this talk I will focus on a particular subclass of 4-manifolds having only 0- 1- and 2-handles in their handle decompositions, and an analogous conjecture regarding their smooth structures posed by Gompf. After explaining all the background and presenting the problems and how they are related, I will briefly mention the current strategies to attack them.
4-dimensional 2-handlebodies and the conjecture of Gompf read_more
HG G 43
ETH Zurich
* 20 November 2025
16:00-17:00 		Giacomo Gavelli
University of Tubingen
Details

Geometry Graduate Colloquium

Title Asymptotic Invariants for sequences of locally symmetric spaces
Speaker, Affiliation Giacomo Gavelli, University of Tubingen
Date, Time 20 November 2025, 16:00-17:00
Location HG E 33.3
ETH Zurich
Abstract Consider a sequence of locally symmetric spaces (Mn) sharing a common universal cover X, a toy model being a sequence of hyperbolic surfaces covered by the hyperbolic plane. We say that the sequence is Benjamini--Schramm convergent to X if for every positive R the probability that the ball of radius R centered at a random point in Mn is isometric to the R-ball in X is asimptotically 1. Under this assumption of geometric convergence, it is possible to obtain interesting asymptotics results for several invariants of Mn. In this talk, I will focus mostly on the description of asymptotics for spectral invariants.
Asymptotic Invariants for sequences of locally symmetric spacesread_more
HG E 33.3
ETH Zurich
* 27 November 2025
16:00-17:00 		Thomas Jacob
University of Zurich
Details

Geometry Graduate Colloquium

Title Vanishing cycles and Picard Lefschetz formula
Speaker, Affiliation Thomas Jacob, University of Zurich
Date, Time 27 November 2025, 16:00-17:00
Location HG F 26.3
ETH Zurich
Vanishing cycles and Picard Lefschetz formula
HG F 26.3
ETH Zurich

Notes: events marked with an asterisk (*) indicate that the time and/or location are different from the usual time and/or location.

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