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Investigates the property of maximal $L_p$-regularity for parabolic evolution equations via the concept of $\mathcal R$-sectorial operators and operat...Lees meer
The notion of homotopy principle is one of the key concepts in an elegant language developed by Gromov to deal with a host of questions in geometry an...Lees meer
Studies the geometry of a Kummer surface in ${\mathbb P}^3_k$ and of its minimal desingularization, which is a K3 surface (here $k$ is an algebraicall...Lees meer
This monograph carries out the program which the author formulated in earlier work, the formalization of the theory of recursive functions of type 0 a...Lees meer
Intends to characterise strict $\omega$-categories as simplicial sets with structure. The author proves the Street-Roberts conjecture in the form form...Lees meer
The author studies continuous processes indexed by a special family of graphs. Processes indexed by vertices of graphs are known as probabilistic grap...Lees meer
Develops the theory of Hod mice below $AD_{\mathbb{R}}+$ ``$\Theta$ is regular''. The author uses this theory to show that HOD of the minimal model of...Lees meer
The authors study the complex geometry and coherent cohomology of nonclassical Mumford-Tate domains and their quotients by discrete groups. Their focu...Lees meer
In the world of singular Poisson geometry, the closures of principal holomorphic nilpotent orbits, positive definite hermitian JTS', and certain pre-h...Lees meer
Proves that the universal Teichmuller space $T(1)$ carries a new structure of a complex Hilbert manifold and show that the connected component of the ...Lees meer
The $0$-calculus on a manifold with boundary is a micro-localization of the Lie algebra of vector fields that vanish at the boundary. It has been used...Lees meer
We prove that the solutions of a cohomological equation of complex dimension one and in the analytic category have a monogenic dependence on the param...Lees meer
It is known that certain one-dimensional nearest-neighbour random walks in i.i.d. random space-time environments have diffusive scaling limits. Here, ...Lees meer
Let $X$ be a smooth elliptic fibration over a smooth base $B$. Under mild assumptions, the authors establish a Fourier-Mukai equivalence between the d...Lees meer
Investigates some natural properties of Borel sets which are undecidable in $ZFC$. This book proves a result for a variation of Lift$(X, Y)$ in which ...Lees meer
For broad classes of local algebras $f:R\rightarrow S$ and an $R$-module $M$ of zero dimensional support, this book offers various canonical construct...Lees meer
In this paper, valuation theory is used to analyse infinitesimal behaviour of solutions of linear differential equations. For any Picard-Vessiot exten...Lees meer
Establishes an equivalence between Bernoulli free-boundary problems and a class of equations for real-valued functions of one real variable. The autho...Lees meer
The authors prove that the singular set of a harmonic map from a smooth Riemammian domain to a Riemannian DM-complex is of Hausdorff codimension at le...Lees meer
Develops the theory of compactness of maps between toposes, together with associated notions of separatedness; this theory is built around two version...Lees meer
Considers homomorphisms H \to K from an affine group scheme H over a field k of characteristic zero to a proreductive group K. Using a general categor...Lees meer
Focuses on the study of almost automorphic dynamics in differential equations. This book introduces fundamental notions from topological dynamics. It ...Lees meer