Events

First Interdisciplinary Symposium of the Vienna Doctoral Schools - September 14-15, 2017

For detailed information please visit https://vd.univie.ac.at/vienna-doctoral-schools/interscience/

2nd VDS Summer School, September 2-8, 2017, Obergurgl

The School takes place at the Universitätszentrum Obergurgl. Participants are expected to arrive on Saturday, September 2. The programme will start on Sunday, September 3, 9.00 and finish on Thursday, September 7 in the afternoon. Accommodation is in two-bed and three-bed rooms.

Registration: please send an email at your earliest convenience to vds.mathematik@univie.ac.at with information on arrival date and time, departure date and time, and preferred room mates. Deadline for registrations is August 14.

Schedule

Sunday, September 3, 2017

7:30-8:30            Breakfast

8:30-10:00          Henry Cohn Packing in High Dimensions (I)

10:00-11:00        Coffee break

11:00-12:30        Josef Teichmann Affine Processes: Theory, Applications and New Developments (I)

13:00-15:30        Lunch break

15:30-16:00        Coffee & Cake

16:00-17:00        Henry Cohn Packing in High Dimensions (II)

17:30-18:30        Matthias Kreck A Panorama of Manifolds in Dimensions One to Eight (I)

19:00                   Dinner

20:30                   After-Dinner-Talk Josef Teichmann

 

Monday, September 4, 2017

7:30-8:30            Breakfast

8:30-10:00          Matthias Kreck A Panorama of Manifolds in Dimensions One to Eight (II)

10:00-11:00        Coffee break

11:00-12:30        Henry Cohn Packing in High Dimensions (III)

13:00-15:30        Lunch break

15:30-16:00        Coffee & Cake

16:00-17:00        Josef Teichmann Affine Processes: Theory, Applications and New Developments (II)

17:30-18:30        Henry Cohn Packing in High Dimensions (IV)

19:00                   Dinner

20:30                   After-Dinner-Talk Henry Cohn

 

Tuesday, September 5, 2017

7:30-8:30            Breakfast

8:30-10:00          Henry Cohn Packing in High Dimensions (V)

10:00-11:00        Coffee break

11:00-12:30        Josef Teichmann Affine Processes: Theory, Applications and New Developments (III)

13:00                     Excursion

19:00                     Dinner

20:30                     After-Dinner-Talk Matthias Kreck

 

Wednesday, September 6, 2017

7:30-8:30             Breakfast

8:30-10:00           Josef Teichmann Affine Processes: Theory, Applications and New Developments (IV)

10:00-11:00        Coffee break

11:00-12:30        Josef Teichmann Affine Processes: Theory, Applications and New Developments (V)

13:00-15:30        Lunch break

15:30-16:00        Coffee & Cake

16:00-17:00        Matthias Kreck A Panorama of Manifolds in Dimensions One to Eight (III)

17:30-18:30        Matthias Kreck A Panorama of Manifolds in Dimensions One to Eight (IV)

19:00                  Dinner

 

 

Thursday, September 7, 2017

7:30-8:30            Breakfast

8:30-10:00          Matthias Kreck A Panorama of Manifolds in Dimensions One to Eight (V)

10:00-11:00        Coffee break

11:00-12:30        Meeting VDS Students

13:00-15:30        Lunch break

15:30-16:00        Coffee & Cake

16:00-18:00        VDS Discussion

19:00                   Social Dinner

 

Transferable Skills Workshop

Transferable Skills Workshop "How to apply for post-doctoral funding"

Tuesday, June 20, 2pm, HS7

This workshop is aimed at PhD candidates at the Faculty of Mathematics who will soon be applying for Post-Doctoral funding. It is an informative workshop on international and national funding opportunities
with a particular focus on the relevant funding schemes from the Austrian Science Fund (FWF) e.g. Erwin Schrödinger outgoing fellowship, Hertha Firnberg, stand-alone projects etc. and the Individual Fellowships scheme within the European Union’s Marie Skłodowska Curie Actions (MSCA programme).

PhD Colloquium

Cardinal Invariants of the Continuum and the Structure of the Real Line - Diana Carolina Montoya

PhD Colloquium, June 7th 2017, 3:15pm, HS05

For further information please check the following document.

VDS mini-course

Topological methods in aperiodicity (with James J. Walton)

Date: Wednesday, June 7th, 11.30 until 13.30

Thursday, June 8th, 11.30 until 12.30

Friday, June 9th, 11.30 until 13.30

Location: Wednesday and Thursday SR 4, Friday SR 3, Oskar-Morgenstern-Platz 1

Schedule

7th June 11.30 until 13.30 (2 hours): Aperiodic order

The idea of aperiodic order, introduced through examples and applications. The two main approaches to constructing aperiodic patterns: substitution and the cut and project method. Interactions of aperiodic order and number theory through the cut and project method, and selected review of some more general directions in the field of aperiodic order.

8th June 11.30 until 12.30 (1 hour): Pattern spaces

How one associates to a pattern a moduli space of associated patterns: the translational hull of an FLC pattern. Basic topological and dynamical properties of the translational hull. Presentations as inverse limits of approximants.

9th June 11.30 until 13.30 (2 hours): Pattern cohomology

Elementary introduction to cellular cohomology and Cech cohomology. Example computations of Cech cohomology groups of some pattern spaces, along with discussion of more general approaches. Visualising pattern cohomology through pattern equivariance. Applications of pattern cohomology and discussion on future directions and open problems.

Here are the notes.

VDS mini-course

An Introduction to Noncommutative Geometry and Quantum Groups (with Réamonn Ó Buachalla)

Date: Monday, May 29 until Friday, June 2, 11.00 until 12.30

Location: Meeting Room 2nd floor (BZ02), Oskar-Morgenstern-Platz 1

Abstract: We begin this series of lectures with an introduction to the general theory of Hopf algebras, their relationship to classical algebraic groups, and the definition of Drinfeld-Jimbo quantised enveloping algebras. The notion of a quantum homogeneous space is then introduced and the classical equivalence between equivariant vector bundles and representations of the isotropy subgroup is shown to carry over to the noncommutative setting. This brings us naturally to the notions of covariant differential calculi, noncommutative complex structures, and noncommutative K\"ahler structures. Throughout, the Podle\'s sphere, or the quantum projective line, is used as a motivating example. Moreover, the natural $q$-deformed Dirac operator associated to the Podle\'s sphere is used to introduce the theory of spectral triples and the $C^*$-algebraic approach to noncommutative geometry. We finish by looking at the Borel--Weil theorem for the Podle\'s sphere and give a brief introduction to the theory of noncommutative projective algebraic geometry.

PhD Colloquium

An Introduction to Symbolic Dynamics - Gabriel Strasser

PhD Colloquium, May 17th 2017, 3:15pm, HS05

For further information please check the following document.

VDS mini-course

A tale of two phenomena: Fixed Point Property and Minimal Dynamical Systems (with Jan P. Boronski)

Date: Tuesday, May 16th until Friday, May 19th

Time: 10:00 - 11:00

Location: Tuesday, Wednesday and Friday SR 6, Thursday HS 7, Oskar-Morgenstern-Platz 1

Schedule

Tue May 16 (10.00 - 11.00 a.m.):
A. Introduction to minimal systems and minimal spaces: minimal Cantor systems, irrational circle rotations, minimal sets.
B. Minimality vs. local versions of Banach Fixed Point Theorem.


Wed May 17 (10.00 - 11.00 a.m.):
A. Minimality in Cartesian products.


Thu May 18 (10.00 - 11.00 a.m.):
A. Introduction to Fixed Point Theory.
B. Fixed Point Theorems for Planar Homeomorphisms Part 1.


Fri May 19 (10.00 - 11.00 a.m.):
A. Fixed Point Theorems for Planar Homeomorphisms Part 2 and beyond.

More detailed information can be found here.

The notes can be found here.

VDS mini-course

Dynamics of the unimodal interval family (with Ana Anusic)

Date: Wednesday 3rd - Friday 5th May, 2017

Time: 15:00 - 17:00

Location: Wednesday SR15, Thursday and Friday SR13, Oskar-Morgenstern-Platz 1

The aim of this mini course is to introduce basic concepts of discrete one-dimensional dynamical systems through the unimodal family of interval maps. We primarily focus on topological, symbolic and combinatorial aspects of the theory.

1. Bifurcation diagram of the logistic family, Feigenbaum universality and chaos
(asymptotic behavior of orbits of logistic maps, hyperbolicity and bifurcations, renormalization, Feigenbaum constants and chaos)

2. Symbolic dynamics and kneading theory for unimodal maps
(Milnor-Thurston kneading theory, full families, formation of periodic orbits and topological entropy)

3. Piecewise-linear model and attractors
(construction of semi-conjugacy to tent maps, Markov partitions and substitutions, nonwandering and omega-limit sets, attractors of unimodal maps)

Ana Anusic, Faculty of Electrical Engineering and Computing, University of Zagreb.

The notes can be found here.

VDS Retreat Strobl

Date: Sunday 23rd - Wednesday 26th April 2017

Location: Bundesinstitut für Erwachsenenbildung (bifeb), Strobl, AT

The purpose of this retreat is to bring together the student members of the VDS in a relaxed, friendly atmosphere. The program will consist of a mixture of activities and talks, and all members of the VDS are encouraged to attend and present either some aspect of their research to the other members of the school, or instead something else that is of mathematical interest to them.

The institute is located in beautiful surroundings on the edge of Wolfgangsee, right on the border of Upper Austria and Salzburg:

https://www.google.at/maps/place/Bundesinstitut+f%C3%BCr+Erwachsenenbildung/@47.7234197,13.4857689,17z/data=!3m1!4b1!4m5!3m4!1s0x4776b179c1fe50ad:0xe07230f9622d4203!8m2!3d47.7234161!4d13.4879576

Talks:

Aigner, Florian: An Interaction of Combinatorics and Statistical Physics: Square Ice, the 6-vertex Model and ASMs
Biberhofer, Sascha: Two Worlds and Inbetween: The Strange Case of Dr. Riemann and Mr. Galois
Chiu, Christopher: The Sounds of the 80s
Cinc, Jernej: Planar Embeddings of Continua
Ender, Christof: Fermat’s Theorem Over Finite Fields
Gilmore, Tomack: The Many Different Faces of a Pile of Cubes
Girsch, Johannes: Combinatorial Nullstellensatz and Applications in Number Theory
Harrach, Christoph: The Erlangen Program
Mejstrik, Thomas: M&M’s Schemes
Saikia, Manjil: Reading Minds and Other Mathematical Stories
Scherl, Daniel: Objects of Catgeories as Complex Numbers (Yes, actually)

 

 

PhD Colloquium

An Introduction to Multicategories and Higher Categories - Hongyi Chu

PhD Colloquium, April 5th 2017, 3pm, Sky Lounge

For further information please check the following document.

VDS mini-course

Permutation groups and transformation semi-groups (with Prof. Peter Cameron)

Date: Monday 20th - Friday 24th March 2017

Time: 10:00 - 12:00

Location: BZ03

The course will be in five short sections:
  --  Introduction to semigroups (basic concepts of semigroup theory, examples
      of semigroups, analogues of Cayley's theorem)
  --  Permutation groups: Orbits and transitivity, blocks and primitivity,
      O'Nan-Scott theorem and applications of CFSG, groups and graphs
  --  Synchronization and graph endomorphisms: the \v{C}ern\'y conjecture,
      connection with graph endomorphisms, examples, open problems
  --  Regularity and idempotent generation: connection with partition
      transversals, applications of CFSG, the road closure problem
  --  Chains of subsemigroups: results for symmetric group and symmetric
      inverse semigroup, partial results for the full transformation monoid

Here is some information about Professor Cameron taken from his wikipedia page:

Peter Jephson Cameron (born 23 January 1947) is an Australian mathematician who works in group theory, combinatorics, coding theory, and model theory. He is currently half-time Professor of Mathematics at the University of St Andrews, and Emeritus Professor at Queen Mary University of London. Cameron received a B.Sc. from the University of Queensland and a D.Phil. in 1971 from University of Oxford, with Peter M. Neumann as his supervisor.[3] Subsequently he was a Junior Research Fellow and later a Tutorial Fellow at Merton College, Oxford, and also lecturer at Bedford College, London. He was awarded the London Mathematical Society's Whitehead Prize in 1979 and is joint winner of the 2003 Euler Medal. Cameron specialises in algebra and combinatorics; he has written books about combinatorics, algebra, permutation groups, and logic, and has produced over 250 academic papers.[4] He posed the Cameron–Erdős conjecture with Paul Erdős.

Here are the notes.

PhD Colloquium

An Introduction to Arithmetic Groups - Sascha Biberhofer

PhD Colloquium, March 15th 2017, 3pm, Sky Lounge

For further information please check the following document.

PhD Colloquium

Introduction to Optimal Transport - Anastasiia Zalashko

PhD Colloquium, January 18th 2017, 3pm, Sky Lounge

For further information please check the following document.

"Stammtisch"

Weekly "Stammtisch" for members of the VDS Mathematics

Taking place every Thursday at 7 pm at Lichtenthaler Bräu (Liechtensteinstrasse 108), unless otherwise specified.

 

 

PhD Colloquium

Introduction to the Nash problem - Christopher Chiu

PhD Colloquium, December 14th 2016, 3pm, Seminar room 3

For further information please check the following document.

PhD Colloquium

An Introduction to Algebraic Combinatorics - Robin Sulzgruber

PhD Colloquium, November 23rd 2016, 3pm, Sky Lounge

For further information please check the following document.

PhD Colloquium

The singularity theorems of Lorentzian geometry - Melanie Graf

PhD Colloquium, October 19th 2016, 3pm, Sky Lounge

For further information please check the following document.

Summer School

VDS Summer School, September 18–23, 2016, Obergurgl

This School will feature the following two courses:

Eduard Feireisl (Charles University Prague): The Navier-Stokes millennium prize problem

Joseph M. Landsberghttp://www.math.tamu.edu/~jml/ (Texas A&M University, College Station): Uses of geometry in theoretical computer science

The programme will be complemented by short lectures by the organisers.

The School takes place at the Universitätszentrum Obergurgl. Participants are expected to arrive on Sunday, September 18. The programme will start on Monday, September 19, 9.00 and finish on Friday, September 23 in the afternoon. Accommodation is in two-bed and three-bed rooms. The cost for board and lodging is €89,50 per day.

Organisers: Radu Ioan Boţ, Andreas Čap, Herwig Hauser, Josef Hofbauer, Christian Krattenthaler, Christian Schmeiser, Joachim Schwermer

Registration: please send an email at your earliest convenience to bettina.hiebl@univie.ac.at with information on arrival date and time, departure date and time, and preferred room mates. Deadline for registrations is August 15.

 

 

Program VDS Summer School, Obergurgl September 19 - 23, 2016 

 

Arrival, afternoon Sunday September 18

Buses from Oetztal Bahnhof to Obergurgl depart at 3:10, 3:45, 4:48, 6:18, 7:35 pm, travel time 90 min.

Breakfast:           7:30 - 8:30

Coffee-Break:    10:00

Lunch:                 1:00

Coffee & Cake:  3:30

Dinner:                7:00

 

Monday:

8:30 - 10:00     Feireisl: The Navier-Stokes millennium prize problem

11:00 - 12:30   Landsberg: Uses of geometry in theoretical computer science

4:00 - 5:00       Cap: Non-holonomic distributions, mechanics, and geometry

5:30 - 6:30       Schmeiser: Hypocoercivity of the kinetic Fokker-Planck equation

 

Tuesday:

8:30 - 10:00     Feireisl

11:00 - 12:30   Landsberg

4:00 - 5:00       Hauser: The Jacobian conjecture about polynomial automorphisms and the Ax-Grothendieck Theorem

5:30 - 6:30       Cap

8:00                  After-Dinner-Talk Feireisl (optional)

 

Wednesday:

8:30 - 10:00     Feireisl

11:00 - 12:30   Landsberg

4:00 - 5:00       Feireisl

5:30 - 6:30       Hauser 

8:00                  After-Dinner-Talk Landsberg (optional)

 

Thursday:

8:30 - 10:00     Feireisl

11:00 - 12:30   Landsberg

1:00 - 6:00       Excursion

 

Friday:

9:00 - 10:00     Schmeiser

11:00 - 12:30   Landsberg

4:00 - 6:00       VDS-Discussion

7:00                  Social Dinner

 

 

 

 

Kick-off

Kick-off of the Vienna Doctoral School "Mathematics"

Tuesday, May 17, 2pm, HS14

This event will feature a brief introduction in what this VDS "Mathematics" is going to be, it will feature "general public" lectures by Martin Aigner (FU Berlin) and Karl Sigmund, it will feature posters by the "inaugural" crowd of Ph.D. students in the school (accompanied by coffee and cakes), and, MOST IMPORTANTLY, it will be an OPPORTUNITY for ALL OF US TO COME TOGETHER AND LEARN MORE ABOUT EACH OTHER.


You can find the program here and the poster here.