On the pro-p Iwahori Hecke Ext-algebra of SL2(Qp)

Chapter 1. Introduction
Chapter 2. Notations, preliminaries and results on the top cohomology
	2.1. The pro-p-Iwahori Hecke algebra
	2.2. The Ext-algebra
	2.3. The top cohomology Ed when G is almost simple simply connected
	2.4. The pro-p-Iwahori Hecke algebra of SL2
	2.5. On some values of the functor Hd(I, -) when G=SL2
Chapter 3. Formulas for the left action of H on E1 when G=SL2(Qp), p=2,3
	3.1. Conjugation by
	3.2. Elements of E1 as triples
	3.3. Image of a triple under the anti-involution J
	3.4. Action of  on E1 for
	3.5. Action of the idempotents e
	3.6. Action of H on E1 when G=SL2(Qp), p=2,3
	3.7. Sub-H-bimodules of E1
Chapter 4. Formulas for the left action of H on Ed-1 when G=SL2(Qp) , p=2,3
	4.1. Elements of Ed-1 as triples
	4.2. Left action of  on Ed-1 for
	4.3. Left action of H on  E2 when G=SL2(Qp) , p=2,3
Chapter 5. k[]-torsion in E* when G=SL2(Qp), p=2,3
Chapter 6. Structure of E1 and E2 when G=SL2(Qp), p=2,3
	6.1. Preliminaries
	6.2. Structure of E1
	6.3. Structure of E2
Chapter 7. On the left H-module H*(I, V) when G=SL2(Qp) with p=2,3 and V is of finite length
Chapter 8. The commutator in E* of the center of H when G=SL2(Qp), p=2,3
	8.1. The product (CE1(Z) , CE1(Z) )CE2(Z)
	8.2. The products (CEi(Z) , CE3-i(Z) )CE3(Z)  for i=1,2
Chapter 9. Appendix
	9.1. Proof of Proposition 2.1
	9.2. Computation of some transfer maps
	9.3. Proof of Proposition 3.9
	9.4. Proof of Proposition 4.5
	References
Bibliography