Algebra Kinderseminar
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Wed, 29/04/2009 11:30 |
Richard Williamson (University of Oxford) |
Algebra Kinderseminar  |
ChCh, Tom Gate, Room 2 |
| Presheaves on categories crop up everywhere! In this talk, I'll give a gentle introduction to 2-categories, and discuss the notion of a presheaf on a 2-category. In particular, we'll consider which 2-categories such a presheaf might take values in. Only a little familiarity with the notion of a category will be assumed! | |||
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Wed, 06/05/2009 11:30 |
Ben Davison (University of Oxford) |
Algebra Kinderseminar |
ChCh, Tom Gate, Room 2 |
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Wed, 13/05/2009 11:30 |
Nicholas Cooney (University of Oxford) |
Algebra Kinderseminar |
ChCh, Tom Gate, Room 2 |
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Wed, 20/05/2009 11:30 |
David Craven (University of Oxford) |
Algebra Kinderseminar |
ChCh, Tom Gate, Room 2 |
| We begin by proving the abc theorem for polynomial rings and looking at a couple of its consequences. We then move on to the abc conjecture and its equivalence with the generalized Szpiro conjecture, via Frey polynomials. We look at a couple of consequences of the abc conjecture, and finally consider function fields, where we introduce the abc theorem in that case. | |||
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Wed, 27/05/2009 11:30 |
Algebra Kinderseminar |
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Wed, 03/06/2009 11:30 |
Armin Shalile (University of Oxford) |
Algebra Kinderseminar |
ChCh, Tom Gate, Room 2 |
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Wed, 10/06/2009 11:30 |
Tobias Barthel (University of Oxford) |
Algebra Kinderseminar |
ChCh, Tom Gate, Room 2 |
| Using the theory of formal groups, Landweber´s exactness theorem provides means to construct interesting invariants of topological spaces out of geometric objects. I will illustrate the resulting connection between algebraic geometry and stable homotopy theory in the special case of elliptic curves. | |||
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Wed, 17/06/2009 11:30 |
Mikhail Ershov (University of Virginia) |
Algebra Kinderseminar |
ChCh, Tom Gate, Room 2 |
| I will describe in detail the first construction of infinite, finitely generated torsion groups due to Golod in early 60s – these groups are special cases of the so-called Golod-Shafarevich groups. If time allows, I will discuss some related constructions and open problems. | |||
