Advanced Notions Seminar
This is the schedule and abstracts of the advanced notions student seminar of our department
| Date | Speaker | Title> | Abstract |
| 12/5/2011 | Asaf Karagila (BGU) | Forcing: The Levy Collapse | In this method we collapse some $\aleph_\alpha$ to a smaller cardinality. I will go over the basic example, collapsing $\aleph_1$ to $\aleph_0$. Using this example and analogies from more familiar mathematics I will give a general idea how forcing works and can be used as a method to prove consistency results. |
| 19/5/2011 | Eli Shamovich (BGU) | Covering Spaces and Applications | I will talk about the topological notions of fibrations and coverings, their relation to lifting problems and fundamental groups. I will then show application of coverings to topological groups, Riemann surfaces and maybe more time permitting. |
| 26/5/2011 | No Seminar | No Seminar | No seminar this week due to the Amitzur Memorial Conference |
| 2/6/2011 | Liran Shaul (BGU) | The étale fundamental group of algebraic varieties | The aim of this talk is to explain the ideas leading to an algebraic definition of the fundamental group. We start by categorising the classical definition of the fundamental group via covering spaces. Next, we define étale morphisms, the algebraic analog of covering maps. Finally, we define the fundamental group of an algebraic variety, and discuss some examples. |
| 9/6/2011 | Dennis Gulko (BGU) | A Frobenius type theorem for (some) countable linear sharply 2-transitive groups | A shaprly 2-transitive group, is a permutation group that acts freely and transitively on pairs of distinct points. Following the classification of finite sharply 2-transitive groups we prove the following: Theorem: If $\Gamma$ is a countable, linear, non-torsion sharply 2-transitive group of permutational characteristic not 2 and field characteristic not 2 then one of the following mutually exclusive conditions hold: EITHER $\Gamma$ splits as a semidirect product $N^\times\ltimes N$ where $N$ is a near-field OR the action comes from 2-transitive action of a simple algebraic group. |
| 16/6/2011 | No Seminar | No Seminar | No seminar this week |
| 23/6/2011 | Eli Shamovich (BGU) | Resolution of Singularities | In this lecture I'll review some basics of algebraic geometry. I will explain what is a resolution of singularities and present a few ways to resolve singularities of curves. Then I will briefly discuss a theorem due to Hironaka, stating that over an algebraically closed field of characteristic 0, there always exists a resolution of singularities for a singular variety. |
| 30/6/2011 | TBA | TBA | TBA |
| 7/7/2011 | Daniel Kitrosar (BGU) | TBA | TBA |
| 14/7/2011 | Alex Segal (TAU) | TBA | TBA |
| 21/7/2011 | Danny Kalmanovich | TBA | TBA |
| 28/7/2011 | TBA | TBA | TBA |