Topology and Combinatorics of Zero Sets of Polynomials in the Plane Autumn 2022

Lecturer
Peter Feller
Coordinator
Victor Jaeck

Content

The seminar consists of student presentations on topics presented in the book A Singular Mathematical Promenade written by Etienne Ghys.

Topics and speakers

The seminar takes place on Mondays from 14:15 to 16:00 in HG G 19.2.

Date Topic Assigned student Remark
26.09.22 Introduction Peter Feller
03.10.22 Intersecting polynomials (1)
Separable permutations (3)
Huber Julian
Xie Xiaowen
10.10.22 Hipparchus and Schroeder (4)
Newton's Method & series (5)
Tschopp Chiara
Unger Benjamin
17.10.22 Newton's method & series and Some formal algebra (5) Smela Maciej & Ni Yilin
24.10.22 Gauss on algebraic curves (6)
Torus knots (12)
Wood Sofia
Kunz Nick
Lecture in HG G 19.1
31.10.22 Proof of Gauss's claim on singularities (7) Mazzoni Edoardo & Heinz Thomas
07.11.22 Convergence: Cauchy (8) Jost Luana & Grunder Nicolas
14.11.22 Moebius and his band & Moebius necklaces & Resolution of singularities (9) Danninger Florian & Marconi Luciana
21.11.22 Moebius and his band & Moebius necklaces & Resolution of singularities (9) Mittelholzer Mara & Nussli Valentin
28.11.22 The 3-sphere and the Hopf fibration (10)
The cusp and the trefoil (11)
Dürr Julia
Lambert Lorraine
05.12.22 Analytic chord diagras: an algorithm (15) Oestmann Lukas & Schilling Justus
12.12.22 Victor Puiseux, at last (14)
Analytic chord diagrams: interlace graphs (16)
Simunovic Ivan
Rohrer Josiah
19.12.22 Sum up Peter Feller