#### AGATES

# Introductory school

### September 12th-16th, 2022

### Warsaw University, Poland

The Summer school is the first part of the 2-week kickoff event of the thematic semester AGATES. The purpose is to provide PhD students and young researchers with an introduction to different perspectives on tensors in geometry, complexity theory and physics, as well as allow interactions among experts and non-experts with different backgrounds.

### Mini-courses

- Tensors in Quantum Physics by Angelo Lucia

Notes 1: fundamentals

Notes 2: quantum entanglement

Exercises - Tensor Decomposition and theoretical computer science by Vladimir Lysikov
- Geometry of eigenvectors of tensors by Emanuele Ventura

Exercises - Tensor and secant varieties in Classical Algebraic Geometry by Alessandro Oneto

Notes

### Schedule

#### Monday

- 9:15 - 9:30 Registration
- 9:30 - 10:30 1 lecture Alessandro
- 10:30 - 11:00 Coffee
- 11:00 - 12:00 1 lecture Angelo
- 12:00 - 14:00 Lunch break
- 14:00 - 15:00 1 lecture Vladimir SLIDES
- 15:00 - 15:30 Coffee
- 15:30 - 16:30 1 lecture Emanuele
- 18:15 - 21:00
**Conference dinner**(same room as coffee)

#### Tuesday

- 9:30 - 10:30 2 lecture Vladimir SLIDES
- 10:30 - 11:00 Coffee
- 11:00 - 12:00 2 lecture Emanuele
- 12:00 - 13:30 Lunch break
- 13:30 - 14:30 2 lecture Alessandro
- 14:30 - 15:00 Coffee
- 15:00 - 16:00 2 lecture Angelo
- 16:00 - 17:00+ Q&A / Exercise session

#### Wednesday

- 9:30 - 10:30 3 lecture Alessandro
- 10:30 - 11:00 Coffee
- 11:00 - 12:00 3 lecture Angelo
- 12:00 - 13:30 Lunch break
- 13:30 - 14:30 3 lecture Vladimir SLIDES
- 14:30 - 15:00 Coffee
- 15:00 - 16:00 3 lecture Emanuele
- 16:00 - 17:00+ Q&A / Exercise session

#### Thursday

- 9:30 - 10:30 4 lecture Vladimir SLIDES
- 10:30 - 11:00 Coffee
- 11:00 - 12:00 4 lecture Emanuele
- 12:00 - 13:30 Lunch break
- 13:30 - 14:30 4 lecture Alessandro
- 14:30 - 15:00 Coffee
- 15:00 - 16:00 4 lecture Angelo
- 16:00 - 17:00+ Q&A / Exercise session

#### Friday

- 9:30 - 10:30 5 lecture Alessandro
- 10:30 - 11:00 Coffee
- 11:00 - 12:00 5 lecture Angelo
- 12:00 - 13:30 Lunch break
- 13:30 - 14:30 5 lecture Vladimir
- 14:30 - 15:00 Coffee
- 15:00 - 16:00 5 lecture Emanuele

### Organisers

- Francesco Galuppi (IMPAN Warsaw)
- Fulvio Gesmundo (Saarland University)
- Joachim Jelisiejew (Warsaw University)

#### Institutional organiser:

- Banach Center (Warsaw)
- University of Warsaw

### Venue

The workshop takes place at the Faculty of Mathematics, Informatics and Mechanics of the University of Warsaw. The address is Banacha 2, 02-097 Warsaw. Lectures will take place in room **5440** on the top floor (button 5 in elevator). The coffee breaks will take place in room **4770** one floor lower (south part of the building).

Some hints on the accommodation are available at the AGATES accommodation tab. Note that some supported participants must reserve their accommodations through the University of Warsaw, see the above link for details.

### Schedule

The lectures will take place from Monday till Friday. There will be a limited number of lectures and some time for working groups and informal discussions.

### Registration

To attend, please fill in the AGATES registration form, indicating that you plan to attend the workshop in the section "Interest in events".

### Financial support and institutions involved

The workshop is supported by

- IDUB thematic research program of University of Warsaw,
- Banach Center
- National Science Center of Poland.

The workshop is a part of a semester long program Algebraic Geometry with Applications to TEnsors and Secants (AGATES), which is supported by the Simons Foundation and by Institute of Mathematics of Polish Academy of Sciences.