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You searched for subject:(Complex Tori). Showing records 1 – 3 of 3 total matches.

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1. Reschke, Paul. Cohomological Insights for Complex Surface Automorphisms with Positive Entropy.

Degree: 2013, University of Illinois – Chicago

I equate dynamical properties (e.g., positive entropy, existence of a periodic curve) of complex surface automorphisms with properties of the pull-back actions of such automorphisms on line bundles. I use these results to describe the measures of maximal entropy for positive-entropy surface automorphisms and to completely characterize the possible values of entropy for two-dimensional complex torus automorphisms. Advisors/Committee Members: DeMarco, Laura (advisor), Coskun, Izzet (committee member), Hadian-Jazi, Majid (committee member), Koch, Sarah (committee member), Takloo-Bighash, Ramin (committee member).

Subjects/Keywords: Complex Dynamics; Entropy; Kahler Surfaces; Cohomological Actions; Complex Tori

…dimensional complex tori can be projective or non-projective, while Enriques surfaces and rational… …tori: let X be a two-dimensional complex torus, and let i be the involution on X coming from… …x29; describe the set of two-dimensional complex tori with infinite automorphism groups in… …many different two-dimensional complex tori: Theorem 1.9 Let λ be a Salem number such that… …The set of two-dimensional complex tori that admit automorphisms whose entropies are log… 

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Reschke, P. (2013). Cohomological Insights for Complex Surface Automorphisms with Positive Entropy. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/10162

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Reschke, Paul. “Cohomological Insights for Complex Surface Automorphisms with Positive Entropy.” 2013. Thesis, University of Illinois – Chicago. Accessed July 10, 2020. http://hdl.handle.net/10027/10162.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Reschke, Paul. “Cohomological Insights for Complex Surface Automorphisms with Positive Entropy.” 2013. Web. 10 Jul 2020.

Vancouver:

Reschke P. Cohomological Insights for Complex Surface Automorphisms with Positive Entropy. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/10027/10162.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Reschke P. Cohomological Insights for Complex Surface Automorphisms with Positive Entropy. [Thesis]. University of Illinois – Chicago; 2013. Available from: http://hdl.handle.net/10027/10162

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of Lethbridge

2. University of Lethbridge. Faculty of Arts and Science. Strings on complex multiplication tori and rational conformal field theory with matrix level .

Degree: 2013, University of Lethbridge

Conformal invariance in two dimensions is a powerful symmetry. Two-dimensional quantum field theories which enjoy conformal invariance, i.e., conformal field theories (CFTs) are of great interest in both physics and mathematics. CFTs describe the dynamics of the world sheet in string theory where conformal symmetry arises as a remnant of reparametrization invariance of the world-sheet coordinates. In statistical mechanics, CFTs describe the critical points of second order phase transitions. On the mathematics side, conformal symmetry gives rise to infinite dimensional chiral algebras like the Virasoro algebra or extensions thereof. This gave rise to the study of vertex operator algebras (VOAs) which is an interesting branch of mathematics. Rational conformal theories are a simple class of CFTs characterized by a finite number of representations of an underlying chiral algebra. The chiral algebra leads to a set of Ward identities which gives a complete non-perturbative solution of the RCFT. Identifying the chiral algebra of an RCFT is a very important step in solving it. Particularly interesting RCFTs are the ones which arise from the compactificatin of string theory as -models on a target manifold M. At generic values of the geo- metric moduli of M, the corresponding CFT is not rational. Rationality can arise at particular values of the modui of M. At these special values of the moduli, the chiral algebra is extended. This interplay between the geometric picture and the algebraic description encoded in the chiral algebra makes CFTs/RCFTs a perfect link between physics and mathematics. It is always useful to find a geometric interpretation of a chiral algebra in terms of a -model on some target manifold M. Then the next step is to figure out the conditions on the geometric moduli of M which gives a RCFT. In this thesis, we limit ourselves to the simplest class of string compactifications, i.e., strings on tori. As Gukov and Vafa proved, rationality selects the complex- multiplication tori. On the other hand, the study of the matrix-level affine algebra Um;K is motivated by conformal field theory and the fractional quantum Hall effect. Gannon completed the classification of Um;K modular-invariant partition functions. Here we connect the algebra U2;K to strings on 2-tori describable by rational conformal field theories. We point out that the rational conformal field theories describing strings on complex- multiplication tori have characters and partition functions identical to those of the matrix-level algebra Um;K. This connection makes obvious that the rational theories are dense in the moduli space of strings on Tm, and may prove useful in other ways.

Subjects/Keywords: rational conformal field theory; symmetry principles; complex multiplication tori; string theory; Conformal invariants; String models; Quantum field theory; Torus (Geometry); Mathematical physics; Mathematical analysis; General relativity (Physics); Dissertations, Academic

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Science, U. o. L. F. o. A. a. (2013). Strings on complex multiplication tori and rational conformal field theory with matrix level . (Thesis). University of Lethbridge. Retrieved from http://hdl.handle.net/10133/3578

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Science, University of Lethbridge. Faculty of Arts and. “Strings on complex multiplication tori and rational conformal field theory with matrix level .” 2013. Thesis, University of Lethbridge. Accessed July 10, 2020. http://hdl.handle.net/10133/3578.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Science, University of Lethbridge. Faculty of Arts and. “Strings on complex multiplication tori and rational conformal field theory with matrix level .” 2013. Web. 10 Jul 2020.

Vancouver:

Science UoLFoAa. Strings on complex multiplication tori and rational conformal field theory with matrix level . [Internet] [Thesis]. University of Lethbridge; 2013. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/10133/3578.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Science UoLFoAa. Strings on complex multiplication tori and rational conformal field theory with matrix level . [Thesis]. University of Lethbridge; 2013. Available from: http://hdl.handle.net/10133/3578

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


ETH Zürich

3. Maier, Alex G. On Simultaneous Equidistributing and Nondense Points for Noncommuting Endomorphisms.

Degree: 2017, ETH Zürich

Subjects/Keywords: TORI (GEOMETRY); KOMPLEXE LIESCHE TRANSFORMATIONSGRUPPEN, ORBITS UND QUOTIENTENRÄUME (TOPOLOGIE); COMPLEX LIE TRANSFORMATION GROUPS, ORBITS AND QUOTIENT SPACES (TOPOLOGY); TORI (GEOMETRIE); GEOMETRIE HOMOGENER RÄUME UND LIESCHER GRUPPEN (DIFFERENTIALGEOMETRIE); GEOMETRY OF HOMOGENEOUS SPACES AND LIE GROUPS (DIFFERENTIAL GEOMETRY); info:eu-repo/classification/ddc/510; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Maier, A. G. (2017). On Simultaneous Equidistributing and Nondense Points for Noncommuting Endomorphisms. (Doctoral Dissertation). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/130831

Chicago Manual of Style (16th Edition):

Maier, Alex G. “On Simultaneous Equidistributing and Nondense Points for Noncommuting Endomorphisms.” 2017. Doctoral Dissertation, ETH Zürich. Accessed July 10, 2020. http://hdl.handle.net/20.500.11850/130831.

MLA Handbook (7th Edition):

Maier, Alex G. “On Simultaneous Equidistributing and Nondense Points for Noncommuting Endomorphisms.” 2017. Web. 10 Jul 2020.

Vancouver:

Maier AG. On Simultaneous Equidistributing and Nondense Points for Noncommuting Endomorphisms. [Internet] [Doctoral dissertation]. ETH Zürich; 2017. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/20.500.11850/130831.

Council of Science Editors:

Maier AG. On Simultaneous Equidistributing and Nondense Points for Noncommuting Endomorphisms. [Doctoral Dissertation]. ETH Zürich; 2017. Available from: http://hdl.handle.net/20.500.11850/130831

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