## PhD Colloquia

**May 14, 2020 – online: **https://bbb.nt.tuwien.ac.at/b/sas-gut-uvr**2 pm:** PhD Colloquium – Valerie Roitner: Pattern Avoidance in Lattice Paths

In this talk we are going to study lattice paths (i.e. finite polygonal lines in Z^2) constrained to avoid a given pattern (i.e. a fixed word/subpath). Lattice paths appear in many different mathematical models in biology, physics and computer science, but are of purely mathematical interest as well since they stand in bijection with many other combinatorial objects. We will discuss the (combinatorial) kernel method as well as its vectorial generalization which is a very helpful

tool for solving lattice path enumeration problems. Furthermore, we will also see some extensions thereof, e.g. a lattice path avoiding several patterns or methods for counting how many times a certain pattern appears.

Please find detailed information here.

Please find the slides here.

**March 4, 2020 – HS11 (Hauptgebäude TU Wien)****1 pm:** PhD Colloquium – Lukas Fertl: An introduction to sufficient dimension reduction, conditional variance estimator

**January 15, 2020 – Sky Lounge, OMP13 pm: **PhD Colloqium – Axel Böhm: How machines learn or minimizing training loss

**December 4, 2019 – Sky Lounge, OMP1****3 pm:** PhD Colloqium – Philipp Kniefacz: Sharp Sobolev Inequalities via Projection Averages

**October 23, 2019 – Sky Lounge, OMP 1**

**2 pm:**VSM Info Day

**3 pm:**PhD Colloquium – Alexander Pichler: An introduction to virtual element methods for the Helmholtz problem