Bis-Alkoxycarbonylation And Difunctionalization Of Alkenes Employing Palladium(II) Or Nickel(II) Complexes As Catalysts

Section 1 is focused on the bis-alkoxycarbonylation reaction of olefins, catalyzed by aryl α-diimine/Pd(II) complexes, for the synthesis of succinic acid ester derivatives, important compounds in many industrial fields. The opening chapter (Chapter 1) of this thesis presents an overview of the basic chemistry of organopalladium compounds and carbonylation reactions, focusing on oxidative bis-alkoxycarbonylation processes. In Chapter 2 the results obtained in the bis-alkoxycarbonylation of 1,2-disubstituted olefins are reported. The reaction proceeds under very mild reaction conditions, using an aryl α-diimine/Pd(II) catalyst and p-benzoquinone as oxidant, in the presence of a suitable alcohol. This process proved to be very efficient, selective and diastereospecific and various 2,3-disubstituted succinic esters have been obtained in high yields. In Chapter 3 the first bis-alkoxycarbonylation reaction of acrylic esters and acrylic amides, leading to the synthesis of 2-alkoxycarbonyl and 2-carbamoyl succinates respectively, is reported. Remarkably, the utilized aryl α-diimine/Pd(II) catalyst is able to promote the carbonylation of both the β- and the generally non-reactive α- positions of these alkenes. The proposed catalytic cycle is supported by DFT calculations. Section 2 is mainly focused on the Ni-catalyzed difunctionalization of unactivated alkenes tethered to unstabilized ketones. This reaction allows for a wide range of pharmaceutically useful cyclic architectures to be obtained. Chapter 4 consists of an introduction to the difunctionalization reactions of unactivated olefins. In particular, intramolecular reactions will be discussed in detail. In Chapter 5 the results obtained from the Ni-catalyzed difunctionalization of unactivated alkenes tethered to unstabilized ketones are reported. The reaction proceeds through the formation of a zinc-enolate compound, followed by a cyclization/cross-coupling reaction, which takes place in the presence of a phosphine/Ni(II) complex and an (hetero)aryl electrophile, leading to different cyclic and bicyilc architectures. In Chapter 6, preliminary results concerning the anionic cyclization of zinc enolates tethered to unactivated alkenes are presented.

The Hitchin map for one-nodal base curves of compact type

Studying moduli spaces of semistable Higgs bundles (E, \phi) of rank n on a smooth curve C, a key role is played by the spectral curve X (Hitchin), because an important result by Beauville-Narasimhan-Ramanan allows us to study isomorphism classes of such Higgs bundles in terms of isomorphism classes of rank-1 torsion-free sheaves on X. This way, the generic fibre of the Hitchin map, which associates to any semistable Higgs bundle the coefficients of the characteristic polynomial of \phi, is isomorphic to the Jacobian of X. Focusing on rank-2 Higgs data, this construction was extended by Barik to the case in which the curve C is reducible, one-nodal, having two smooth components. Such curve is called of compact type because its Picard group is compact. In this work, we describe and clarify the main points of the construction by Barik and we give examples, especially concerning generic fibres of the Hitchin map. Referring to Hausel-Pauly, we consider the case of SL(2,C)-Higgs bundles on a smooth base curve, which are such that the generic fibre of the Hitchin map is a subvariety of the Jacobian of X, the Prym variety. We recall the description of special loci, called endoscopic loci, such that the associated Prym variety is not connected. Then, letting G be an affine reductive group having underlying Lie algebra so(4,C), we consider G-Higgs bundles on a smooth base curve. Starting from the construction by Bradlow-Schaposnik, we discuss the associated endoscopic loci. By adapting these studies to a one-nodal base curve of compact type, we describe the fibre of the SL(2,C)-Hitchin map and of the G-Hitchin map, together with endoscopic loci. In the Appendix, we give an interpretation of generic spectral curves in terms of families of double covers.