## Algebraic Groups

** This study group takes place on Wednesdays at 3pm in S3.05. **

### Talks:

- 8th October:
** Some background from algebraic geometry, definitions.** (Vanessa Miemietz).

- 15th October:
** First properties.** (Peter Latham).

- 22th October:
** G-spaces, I.** (Keith Brown).

- 30th October:
** G-spaces, II.** (Francesco Bonesi).

- 5th November:
** Jordan decomposition.** (Robin Cussol).

- 12th November:
** Recovering a group from its representations I.** (Ruari Walker).

- 19th November:
** Recovering a group from its representations II.** (Francesco Bonesi).

- 26th November:
** Commutative algebraic groups.** (Francesco Bonesi).

- 3rd December:
** Diagonalizable groups and tori.** (Shaun Stevens).

- 10th December:
** Additive functions.** (Keith Brown).

- 14th January:
** Elementary unipotent groups.** (Keith Brown). - 21st January:
** Derviations and tangent spaces.** (Ruari Walker). - 28th January:
** Tangent spaces: examples.** (Robin Cussol).

- 4th February:
** Tangent spaces continued.** (Robin Cussol).

### References

- Springer, T.A.
*Linear algebraic groups.* Reprint of the 1998 second edition. Modern Birkhäuser Classics. Birkhäuser Boston, Inc., Boston, MA, 2009.
- Borel, A.
*Linear algebraic groups.* Second edition. Graduate Texts in Mathematics, 126. Springer-Verlag, New York, 1991.