Special Lecture.

Special Lecture

Special Lecture - The Octionions

Forming real vector spaces, we have the linear maps, which preserve the vector space structure L(n; R) = { M : R → R ∣∣M(a~x+ b~y) = aM(~x) + bM(~y) } (1) This is a monoid, not a group, as inverses may not exist. The first group is the general linear group, which preserve dimensionality GL(n; R) = { M ∈ L(n) ∣∣M is invertible } . (2) Further, we have the area preserving maps SL(n; R) = { M ∈ L(...

Lecture on Shimura Curves 6: Special Points and Canonical Models

As mentioned several times in class, the arithmetic of quaternionic Shimura varieties is strongly controlled by the behavior of the class of CM points (just as in the case of modular curves). Just as for elliptic curves, if o is an order in an imaginary quadratic field K, one has a notion of a QM-surface with o-CM. Namely, let ι : O ↪→ A be a QM structure on an abelian surface (we are still wor...

Review lecture. Immunosuppressive agents, with special reference to antilymphocytic serum.

1. I n t r o d u c t i o n ‘Immunosuppressive agents’ are precisely what their name implies: agents tha t weaken or abolish the immunological response. The term itself promises more than any agent has in fact achieved. Strictly speaking, an immunosuppressive drug or treatm ent should be one th a t inhibits the immune response and no other. A central theme of this lecture is tha t only antilymph...

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