Results 211 to 220 of about 8,895 (254)
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Oberwolfach Reports
Arithmetic geometry is at the interface between algebraic geometry and number theory, and studies schemes over the ring of integers of number fields, or their p -adic completions. The talks covered a wide range of topics including the categorical Langlands program, Shimura varieties ...
Bhargav Bhatt +3 more
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Arithmetic geometry is at the interface between algebraic geometry and number theory, and studies schemes over the ring of integers of number fields, or their p -adic completions. The talks covered a wide range of topics including the categorical Langlands program, Shimura varieties ...
Bhargav Bhatt +3 more
+4 more sources
Oberwolfach Reports, 2013
The focus of the workshop was the connection between algebraic geometry and arithmetic. Most lectures were on p-adic topics, underlining the importance of Fontaine’s theory in the field, namely it gives a relation between “coherent” and “´etale” invariants.
Gerd Faltings, Johan de Jong
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The focus of the workshop was the connection between algebraic geometry and arithmetic. Most lectures were on p-adic topics, underlining the importance of Fontaine’s theory in the field, namely it gives a relation between “coherent” and “´etale” invariants.
Gerd Faltings, Johan de Jong
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2019
This book presents highlights of recent work in arithmetic algebraic geometry by some of the world's leading mathematicians. Together, these 2016 lectures—which were delivered in celebration of the tenth anniversary of the annual summer workshops in Alpbach, Austria—provide an introduction to high-level research on three topics: Shimura varieties ...
+4 more sources
This book presents highlights of recent work in arithmetic algebraic geometry by some of the world's leading mathematicians. Together, these 2016 lectures—which were delivered in celebration of the tenth anniversary of the annual summer workshops in Alpbach, Austria—provide an introduction to high-level research on three topics: Shimura varieties ...
+4 more sources
Oberwolfach Reports, 2017
Arithmetic geometry is at the interface between algebraic geometry and number theory, and studies schemes over the ring of integers of number fields, or their p -adic completions, and connects with representation theory, automorphic forms, Hodge ...
Faltings, Gerd +2 more
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Arithmetic geometry is at the interface between algebraic geometry and number theory, and studies schemes over the ring of integers of number fields, or their p -adic completions, and connects with representation theory, automorphic forms, Hodge ...
Faltings, Gerd +2 more
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Problems of Arithmetical Geometry
The Mathematical Gazette, 1960The subject matter of my talk is geometry in the sense that I shall deal with such entities as lines, circles, and squares. But the results I aim at bear little resemblance to the theorems of traditional geometry, which describe properties of given configurations.
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2016
Arithmetic geometry is at the interface between algebraic geometry and number theory, and studies schemes over the ring of integers of number fields, or their $p$-adic completions. An emphasis of the workshop was on p-adic techniques, but various other aspects including Hodge theory, Arakelov theory and global questions were discussed.
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Arithmetic geometry is at the interface between algebraic geometry and number theory, and studies schemes over the ring of integers of number fields, or their $p$-adic completions. An emphasis of the workshop was on p-adic techniques, but various other aspects including Hodge theory, Arakelov theory and global questions were discussed.
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1992
Everyone knows what a rational number is, a quotient of two integers. We call a point (x, y) in the plane a rational point if both of its coordinates are rational numbers. We call a line a rational line if the equation of the line can be written with rational numbers, that is, if it has an equation $$\displaystyle{ax + by + c = 0}$$ with a, b ...
Joseph H. Silverman, John Tate
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Everyone knows what a rational number is, a quotient of two integers. We call a point (x, y) in the plane a rational point if both of its coordinates are rational numbers. We call a line a rational line if the equation of the line can be written with rational numbers, that is, if it has an equation $$\displaystyle{ax + by + c = 0}$$ with a, b ...
Joseph H. Silverman, John Tate
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2015
The 'Arithmetic and Geometry' trimester, held at the Hausdorff Research Institute for Mathematics in Bonn, focussed on recent work on Serre's conjecture and on rational points on algebraic varieties. The resulting proceedings volume provides a modern overview of the subject for graduate students in arithmetic geometry and Diophantine geometry.
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The 'Arithmetic and Geometry' trimester, held at the Hausdorff Research Institute for Mathematics in Bonn, focussed on recent work on Serre's conjecture and on rational points on algebraic varieties. The resulting proceedings volume provides a modern overview of the subject for graduate students in arithmetic geometry and Diophantine geometry.
openaire +3 more sources