THE ALGEBRA & GEOMETRY OF MODERN PHYSICS
Time and location: Thursdays, 15:15–17:00; Seminar Room C221, Faculty of Physics (CeNT II building), ul. Pasteura 5, Warszawa
| Apr 4th | Helder Larraguivel (FUW) |
Linear superalgebra |
| Apr 17th (Wed!) | Helder Larraguivel (FUW) | Linear superalgebra, part II |
| Apr 25th | Dmitry Noshchenko (FUW) | Basics of category theory |
| May 9th |
Oskar Słowik (MIMUW) | Manifolds in the language of sheaves and functors |
| May 16th |
Oskar Słowik (MIMUW) | Manifolds in the language of sheaves and functors, part II |
| May 23rd |
Oskar Słowik (MIMUW) | Manifolds in the language of sheaves and functors, part III |
| May 30th |
Carlos Perez Sanches (FUW) | Elementary supergeometry |
| Jun 13th |
Sibasish Banerjee (FUW) | Elementary supergeometry, part II |
| Jun 26th | Vivek Singh (FUW) | Lie supergroups |
| Oct 5th | AGMP |
The launch |
| Mar 1st | Mariusz Tobolski (IMPAN) | Interacting fields and Feynman diagrams, part I |
| Mar 8th | Mariusz Tobolski (IMPAN) | Interacting fields and Feynman diagrams, part II |
| Mar 15th |
Mariusz Tobolski (IMPAN) | Interacting fields and Feynman diagrams, part III |
| Mar 22nd |
Helder Larraguivel (FUW) | Grassmann calculus |
| Mar 28th (Wed!) |
Helder Larraguivel (FUW) | Quantization of fermionic systems |
| Apr 5th |
Maciej Kolanowski (FUW) | Supersymmetry, part I |
| Apr 12th |
Maciej Kolanowski (FUW) | Supersymmetry, part II |
| Apr 19th |
Maciej Kolanowski (FUW) | Supersymmetry, part III |
| Apr 26th |
Álvaro Díez (FUW) | Witten index, part I |
| May 10th |
Jan Zaanen (Leiden University) | Konwersatorium: The string theory – condensed matter flirtation |
| May 24th |
Álvaro Díez (FUW) | Witten index, part II |
| Jun 7th |
Jakub Pawlikowski (MIMUW) | Atiyah-Singer formula |
| Jun 14th |
Dmitry Noshchenko |
Supersymmetric proof of index theorem |
| Oct 5th | AGMP |
The launch |
| Oct 19th |
P. Miszczak (MIMUW) | Classical mechanics |
| Oct 26th |
P. Miszczak (MIMUW) | Classical mechanics |
| Nov 2nd |
M. Gałązka (MIMUW) | Lorentz group and spinors |
| Nov 9th |
M. Gałązka (MIMUW) | Lorentz group and spinors |
| Nov 16th |
T. Pelka (MIMUW) | Quantum mechanics |
| Nov 30th |
T. Pelka (MIMUW) | Quantum mechanics |
| Dec 7th |
Krzysztof Jodłowski (FUW) | Feynman approach to Quantum Mechanics and Simple Harmonic Oscilator |
| Dec 14th | Krzysztof Jodłowski (FUW) | Feynman approach to Quantum Mechanics and Simple Harmonic Oscilator, part II |
| Dec 21st | Krzysztof Jodłowski (FUW) | Feynman approach to Quantum Mechanics and Simple Harmonic Oscilator, part III |
| Jan 11th | Robert Śmiech (MIMUW) | Quantum field theory: free fields |
| Jan 18th | Robert Śmiech (MIMUW) | Quantum field theory: free fields, part II |
| Jan 25th | Robert Śmiech (MIMUW) | Quantum field theory: free fields, part III |
| Mar 9th | Hiroyuki Fuji (Kagawa University, Japan) |
Partial chord diagrams and matrix models |
| Mar 16th | Jacek Krajczok (WFUW) |
Chern-Simons theory and Wilson lines, part II |
| Mar 30th | Helder Larraguivel (WFUW) |
Chern-Simons theory and Wilson lines, part III |
| April 6th | Helder Larraguivel (WFUW) |
Chern-Simons theory and Wilson lines, part IV |
| April 20th | Helder Larraguivel (WFUW) |
Chern-Simons theory and Wilson lines, part V |
| April 27th | Piotr Surówka (Max Planck Institute) |
Symmetry, topology and hydrodynamics |
| May 18th | Jacek Krajczok (WFUW) |
Wess-Zumino-Witten model |
| May 25th | Jacek Krajczok (WFUW) |
Wess-Zumino-Witten model, part II |
| June 1st | Noémie Combe (Institut de Mathématiques de Marseille) |
A new cellulation for the n-th configuration space of R^2 and moduli space M(0,n) |
| June 8th | Petr Vasko (WFUW) |
Correspondence between Chern-Simons theory and Wess-Zumino-Witten models |
| Oct 6th | Relaunch |
Relaunch |
| Oct 20th | Mariusz Tobolski (WFUW) |
Principal bundles - recap, part I |
| Oct 27th | Mariusz Tobolski (WFUW) |
Principal bundles - recap, part II |
| Nov 17th | Helder Larraguivel (WFUW) |
Chern-Simons theory, part I |
| Nov 24th | Helder Larraguivel (WFUW) |
Chern-Simons theory, part II |
| Dec 1st | Helder Larraguivel (WFUW) |
Chern-Simons theory, part III |
| Jan 26th | Jacek Krajczok (WFUW) |
Chern-Simons theory and Wilson lines, part I |
| Feb
25th | Tomasz Smołka (WFUW) | Lie groups: from algebra to differential geometry, part III |
| Mar 3rd | Tomasz Smołka (WFUW) |
Lie groups: from algebra to differential geometry, part IV |
| Mar 10th | Tomasz Smołka (WFUW) |
Lie groups: from algebra to differential geometry, part V |
| Mar 17th | Mariusz Tobolski (WFUW) |
Principal bundles and gauge theory, part I |
| Mar 31st | Mariusz Tobolski (WFUW) |
Principal bundles and gauge theory, part II |
| Apr 7th | Mariusz Tobolski (WFUW) |
Principal bundles and gauge theory, part III |
| Apr 14th | Mariusz Tobolski (WFUW) |
Principal bundles and gauge theory, part IV |
| Apr 28th | Jacek Krajczok (WFUW) |
Smooth action of a Lie group and the existence of a smooth manifold structure on the orbit space |
| May 12th | Piotr Kucharski (WFUW) |
Moment maps, part I |
| May 19th | Aleksander Strzelczyk (WFUW)I | |
| June 2nd | Aleksander Strzelczyk (WFUW)I | |
| June 9th | Paweł Smoliński (WFUW) |
| Feb
26th | Henryk Żołądek (MIMUW) | The geometric Langlands program and electromagnetic duality, II |
| Mar 5th | Leonid Chekhov (Aarhus University) | Gaussian means, discretizations of moduli spaces, and cohomological field theories |
| Mar 12th | Neil Lambert (King's College & WFUW) | Konwersatorium L. Infelda: M-theory and hidden spacetime in quantum field theory |
| Mar 19th | Henryk Żołądek (MIMUW) | The geometric Langlands program and electromagnetic duality, III |
| Mar 26th | Andrzej Trautman (WFUW) | Excerpts from my lectures on spinors given in Warsaw and in Trieste, I |
| Apr 9th | Andrzej Trautman (WFUW) | Excerpts from my lectures on spinors given in Warsaw and in Trieste, II |
| Apr 16th | Piotr Kucharski (WFUW) | Knots, BPS states, and algebraic curves |
| Apr 23rd | Paweł Nurowski (CFT) | Spinors in action: a few examples |
| May 7th | Paweł Nurowski (CFT) | Spinors in action: a few examples, II |
| May 21st | Piotr Sułkowski (WFUW) | Boson-fermion correspondence |
The main theme we are going to focus on in this semester are spinors and their appearance and role in mathematics and physics. Spinors are associated with subspaces in quadratic spaces and can be studied (mathematically) from representation theoretic or geometric perspective. The former one has to do with Clifford algebras and their representations, Spin groups, etc.; the latter approach focuses on the behaviour of spinors under the action of Lie groups. Spinors are also abundant in physics: they are used for the modelling of Fermi fields, the spin-statistics theorem is one of the pillars of quantum field theory, they are intimately related to supersymmetry. Apart from the analysis of spinors, in this semester we will also hear several talks by excellent guests on related (or unrelated) topics.
| Feb
27th |
Karol Palka (IMPAN) |
Quick introduction to fibre
bundles, I |
| Mar
6th |
Karol Palka (IMPAN) | Quick introduction to fibre
bundles, II |
| Mar
13th |
Paweł
Urbański (KMMF WFUW) |
Connections in the sense of
Ehresmann |
| Mar
20th |
Paweł Urbański (KMMF WFUW) | Connections in the sense of
Ehresmann, II |
| Apr
3rd |
Rafał
R. Suszek (KMMF WFUW) |
Principal bundles, equivariant descent & the gauge principle, I |
| Apr
10th |
Rafał
R. Suszek (KMMF WFUW) |
Principal bundles,
equivariant descent & the gauge principle, II |
| Apr
24th |
- |
Leopold
Infeld Colloquium & stringtheory.pl/2014 |
| May
8th |
Elisabeth
Gasparim (Unicamp, Campinas, Brasil) |
The counting of instantons
and BPS states |
| May
15th |
Piotr
Sułkowski (IFT WFUW) |
Instantons revisited |
| May
29th |
Piotr
M. Hajac (IMPAN) |
The joy of principal bundles |
| Jun
5th |
Piotr Kucharski (IFT WFUW) |
Bundles and Aharonov-Bohm effect |
Last updated June 4th, 2019