2nd  EAALG Workshop

EAALG is pleased  to announce a one week workshop on Some topics in Algebra and Geometry which is scheduled for 14 -18 August 2023 at Makerere University, Uganda. The target audience comprises of academic staff and graduate students from the Eastern Africa region and beyond. 

Speakers 

1. Dr. Daniel Kaplan  (Hasselt University, Belgium)

2. Dr. Danilo Lewanski  (University of Trieste, Italy)

3. Dr. Andrea di Lorenzo (Humboldt University in Berlin, Germany). 

4. Dr. Diletta Martinelli (University of Amsterdam in the Netherlands)

Algebra:  Reduction systems and the Diamond Lemma in modern mathematics

I will define the notion of a reduction system and show how to use them to compute invariants of algebras. In particular, this technique allows one to find a basis of elements in "normal form" in an algebra defined as a quotient of a free algebra by relations. 

Geometry: Projective geometry and algebraic curves 

Algebraic geometry is a very old and beautiful subject that has at its core the study of solutions of polynomial equations. Mathematicians realized that the right setting to do algebraic geometry is working over a field that is algebraically closed, like for instance the complex numbers, and to consider solutions of homogeneous polynomial equations in the projective space. In the first part of this mini-course we will introduce the projective space and its main properties, focusing on the behavior of lines and conics in the complex projective plane. We will also introduce the concept of parameter space of algebraic projective curves with some example. In the second part of the course we will move to some more advanced topics such as Riemann surfaces and their moduli spaces. While the first part will contain many exercises, the second part plans to be more inspiring rather than completely precise. We will focus on the main characters of this important area of algebraic geometry with some examples and we will explain the connections to some vibrant research areas.

Organizing Committee

1. Danilo Lewanski - University of Trieste, Italy

2. Diletta Martinelli - University of Amsterdam

Scientific Committee

1. Leif Abrahamsson – International Science Programme

2. Rikard Bogvad – Stockholm University

3. Balazs Szendroi - University of Vienna

4. Beng-tove Turesson - International Science Programme

5. Michael Wemyss – University of Glasgow

EAALG (https://sites.google.com/view/eaalg/home) is supported by ISP (https://www.isp.uu.se) as well as each of the seven universities listed against members of the local organizing committee.

This school is supported by a grant from the IMU-CDC Conference Support Program, which is partially supported by the Abel Board.