Q-valued Functions Revisited
Title | Q-valued Functions Revisited PDF eBook |
Author | Camillo De Lellis |
Publisher | |
Pages | 79 |
Release | 2010 |
Genre | MATHEMATICS |
ISBN | 9781470406080 |
Q-valued Functions Revisited
Title | Q-valued Functions Revisited PDF eBook |
Author | Camillo De Lellis |
Publisher | American Mathematical Soc. |
Pages | 92 |
Release | 2008 |
Genre | Mathematics |
ISBN | 0821874187 |
In this memoir the authors revisit Almgren's theory of Q-valued functions.
$Q$-Valued Functions Revisited
Title | $Q$-Valued Functions Revisited PDF eBook |
Author | Camillo De Lellis |
Publisher | American Mathematical Soc. |
Pages | 92 |
Release | 2011 |
Genre | Mathematics |
ISBN | 082184914X |
In this memoir the authors revisit Almgren's theory of $Q$-valued functions, which are functions taking values in the space $\mathcal{A}_Q(\mathbb{R}^{n})$ of unordered $Q$-tuples of points in $\mathbb{R}^{n}$. In particular, the authors: give shorter versions of Almgren's proofs of the existence of $\mathrm{Dir}$-minimizing $Q$-valued functions, of their Holder regularity, and of the dimension estimate of their singular set; propose an alternative, intrinsic approach to these results, not relying on Almgren's biLipschitz embedding $\xi: \mathcal{A}_Q(\mathbb{R}^{n})\to\mathbb{R}^{N(Q,n)}$; improve upon the estimate of the singular set of planar $\mathrm{D}$-minimizing functions by showing that it consists of isolated points.
Almgren's Q-valued Functions Revisited
Title | Almgren's Q-valued Functions Revisited PDF eBook |
Author | Camillo De Lellis |
Publisher | |
Pages | 24 |
Release | 2010 |
Genre | |
ISBN |
Title | PDF eBook |
Author | |
Publisher | World Scientific |
Pages | 1001 |
Release | |
Genre | |
ISBN |
On $L$-Packets for Inner Forms of $SL_n$
Title | On $L$-Packets for Inner Forms of $SL_n$ PDF eBook |
Author | Kaoru Hiraga |
Publisher | American Mathematical Soc. |
Pages | 110 |
Release | 2012 |
Genre | Mathematics |
ISBN | 0821853643 |
The theory of $L$-indistinguishability for inner forms of $SL_2$ has been established in the well-known paper of Labesse and Langlands (L-indistinguishability forSL$(2)$. Canad. J. Math. 31 (1979), no. 4, 726-785). In this memoir, the authors study $L$-indistinguishability for inner forms of $SL_n$ for general $n$. Following the idea of Vogan in (The local Langlands conjecture. Representation theory of groups and algebras, 305-379, Contemp. Math. 145 (1993)), they modify the $S$-group and show that such an $S$-group fits well in the theory of endoscopy for inner forms of $SL_n$.
Multicurves and Equivariant Cohomology
Title | Multicurves and Equivariant Cohomology PDF eBook |
Author | Neil P. Strickland |
Publisher | American Mathematical Soc. |
Pages | 130 |
Release | 2011 |
Genre | Mathematics |
ISBN | 0821849018 |
Let $A$ be a finite abelian group. The author sets up an algebraic framework for studying $A$-equivariant complex-orientable cohomology theories in terms of a suitable kind of equivariant formal group. He computes the equivariant cohomology of many spaces in these terms, including projective bundles (and associated Gysin maps), Thom spaces, and infinite Grassmannians.