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Department of Mathematical Sciences

Research Seminar Series

Applied Mathematics Seminars

Pure Maths Colloquium: Stable homotopy theory and spectra

Presented by David Barnes, Sheffield University

7 May 2012 16:00 in CM221

If homotopy theory is the study of spaces up to homotopy, then stable homotopy theory is the study of homotopy theory up to `suspension'. Suspension is a method of making spaces larger, for example the suspension of the n-sphere is the n+1-sphere. There are many fascinating patterns and structures within homotopy theory that are only revealed when looking through the lens of stable homotopy theory, such as the Freundenthal suspension theorem. Another example of stable data is that coming from cohomology theories.

Cohomology theories are of great importance for studying topological spaces. They take as input topological spaces and as output give a collection of abelian groups. They satisfy a useful collection of axioms which (in theory) make these groups computable. To study cohomology theories, one looks at their representing objects, called spectra. The category of spectra is called the stable homotopy category and is central to the study of algebraic topology.

Contact anna.felikson@durham.ac.uk for more information


Arithmetic Study Group

Pure Maths Colloquium: Stable homotopy theory and spectra

Presented by David Barnes, Sheffield University

7 May 2012 16:00 in CM221

If homotopy theory is the study of spaces up to homotopy, then stable homotopy theory is the study of homotopy theory up to `suspension'. Suspension is a method of making spaces larger, for example the suspension of the n-sphere is the n+1-sphere. There are many fascinating patterns and structures within homotopy theory that are only revealed when looking through the lens of stable homotopy theory, such as the Freundenthal suspension theorem. Another example of stable data is that coming from cohomology theories.

Cohomology theories are of great importance for studying topological spaces. They take as input topological spaces and as output give a collection of abelian groups. They satisfy a useful collection of axioms which (in theory) make these groups computable. To study cohomology theories, one looks at their representing objects, called spectra. The category of spectra is called the stable homotopy category and is central to the study of algebraic topology.

Contact anna.felikson@durham.ac.uk for more information


Centre for Particle Theory Colloquia

Pure Maths Colloquium: Stable homotopy theory and spectra

Presented by David Barnes, Sheffield University

7 May 2012 16:00 in CM221

If homotopy theory is the study of spaces up to homotopy, then stable homotopy theory is the study of homotopy theory up to `suspension'. Suspension is a method of making spaces larger, for example the suspension of the n-sphere is the n+1-sphere. There are many fascinating patterns and structures within homotopy theory that are only revealed when looking through the lens of stable homotopy theory, such as the Freundenthal suspension theorem. Another example of stable data is that coming from cohomology theories.

Cohomology theories are of great importance for studying topological spaces. They take as input topological spaces and as output give a collection of abelian groups. They satisfy a useful collection of axioms which (in theory) make these groups computable. To study cohomology theories, one looks at their representing objects, called spectra. The category of spectra is called the stable homotopy category and is central to the study of algebraic topology.

Contact anna.felikson@durham.ac.uk for more information


Computing Seminars/Talks

Pure Maths Colloquium: Stable homotopy theory and spectra

Presented by David Barnes, Sheffield University

7 May 2012 16:00 in CM221

If homotopy theory is the study of spaces up to homotopy, then stable homotopy theory is the study of homotopy theory up to `suspension'. Suspension is a method of making spaces larger, for example the suspension of the n-sphere is the n+1-sphere. There are many fascinating patterns and structures within homotopy theory that are only revealed when looking through the lens of stable homotopy theory, such as the Freundenthal suspension theorem. Another example of stable data is that coming from cohomology theories.

Cohomology theories are of great importance for studying topological spaces. They take as input topological spaces and as output give a collection of abelian groups. They satisfy a useful collection of axioms which (in theory) make these groups computable. To study cohomology theories, one looks at their representing objects, called spectra. The category of spectra is called the stable homotopy category and is central to the study of algebraic topology.

Contact anna.felikson@durham.ac.uk for more information


CPT Student Seminar

Pure Maths Colloquium: Stable homotopy theory and spectra

Presented by David Barnes, Sheffield University

7 May 2012 16:00 in CM221

If homotopy theory is the study of spaces up to homotopy, then stable homotopy theory is the study of homotopy theory up to `suspension'. Suspension is a method of making spaces larger, for example the suspension of the n-sphere is the n+1-sphere. There are many fascinating patterns and structures within homotopy theory that are only revealed when looking through the lens of stable homotopy theory, such as the Freundenthal suspension theorem. Another example of stable data is that coming from cohomology theories.

Cohomology theories are of great importance for studying topological spaces. They take as input topological spaces and as output give a collection of abelian groups. They satisfy a useful collection of axioms which (in theory) make these groups computable. To study cohomology theories, one looks at their representing objects, called spectra. The category of spectra is called the stable homotopy category and is central to the study of algebraic topology.

Contact anna.felikson@durham.ac.uk for more information


Departmental Research Colloquium

Pure Maths Colloquium: Stable homotopy theory and spectra

Presented by David Barnes, Sheffield University

7 May 2012 16:00 in CM221

If homotopy theory is the study of spaces up to homotopy, then stable homotopy theory is the study of homotopy theory up to `suspension'. Suspension is a method of making spaces larger, for example the suspension of the n-sphere is the n+1-sphere. There are many fascinating patterns and structures within homotopy theory that are only revealed when looking through the lens of stable homotopy theory, such as the Freundenthal suspension theorem. Another example of stable data is that coming from cohomology theories.

Cohomology theories are of great importance for studying topological spaces. They take as input topological spaces and as output give a collection of abelian groups. They satisfy a useful collection of axioms which (in theory) make these groups computable. To study cohomology theories, one looks at their representing objects, called spectra. The category of spectra is called the stable homotopy category and is central to the study of algebraic topology.

Contact anna.felikson@durham.ac.uk for more information


Distinguished Lectures and Public Lectures

Pure Maths Colloquium: Stable homotopy theory and spectra

Presented by David Barnes, Sheffield University

7 May 2012 16:00 in CM221

If homotopy theory is the study of spaces up to homotopy, then stable homotopy theory is the study of homotopy theory up to `suspension'. Suspension is a method of making spaces larger, for example the suspension of the n-sphere is the n+1-sphere. There are many fascinating patterns and structures within homotopy theory that are only revealed when looking through the lens of stable homotopy theory, such as the Freundenthal suspension theorem. Another example of stable data is that coming from cohomology theories.

Cohomology theories are of great importance for studying topological spaces. They take as input topological spaces and as output give a collection of abelian groups. They satisfy a useful collection of axioms which (in theory) make these groups computable. To study cohomology theories, one looks at their representing objects, called spectra. The category of spectra is called the stable homotopy category and is central to the study of algebraic topology.

Contact anna.felikson@durham.ac.uk for more information


Geometry and Topology Seminar

Pure Maths Colloquium: Stable homotopy theory and spectra

Presented by David Barnes, Sheffield University

7 May 2012 16:00 in CM221

If homotopy theory is the study of spaces up to homotopy, then stable homotopy theory is the study of homotopy theory up to `suspension'. Suspension is a method of making spaces larger, for example the suspension of the n-sphere is the n+1-sphere. There are many fascinating patterns and structures within homotopy theory that are only revealed when looking through the lens of stable homotopy theory, such as the Freundenthal suspension theorem. Another example of stable data is that coming from cohomology theories.

Cohomology theories are of great importance for studying topological spaces. They take as input topological spaces and as output give a collection of abelian groups. They satisfy a useful collection of axioms which (in theory) make these groups computable. To study cohomology theories, one looks at their representing objects, called spectra. The category of spectra is called the stable homotopy category and is central to the study of algebraic topology.

Contact anna.felikson@durham.ac.uk for more information


Informal HEP Journal club

Pure Maths Colloquium: Stable homotopy theory and spectra

Presented by David Barnes, Sheffield University

7 May 2012 16:00 in CM221

If homotopy theory is the study of spaces up to homotopy, then stable homotopy theory is the study of homotopy theory up to `suspension'. Suspension is a method of making spaces larger, for example the suspension of the n-sphere is the n+1-sphere. There are many fascinating patterns and structures within homotopy theory that are only revealed when looking through the lens of stable homotopy theory, such as the Freundenthal suspension theorem. Another example of stable data is that coming from cohomology theories.

Cohomology theories are of great importance for studying topological spaces. They take as input topological spaces and as output give a collection of abelian groups. They satisfy a useful collection of axioms which (in theory) make these groups computable. To study cohomology theories, one looks at their representing objects, called spectra. The category of spectra is called the stable homotopy category and is central to the study of algebraic topology.

Contact anna.felikson@durham.ac.uk for more information


Maths HEP Lunchtime Seminars

Pure Maths Colloquium: Stable homotopy theory and spectra

Presented by David Barnes, Sheffield University

7 May 2012 16:00 in CM221

If homotopy theory is the study of spaces up to homotopy, then stable homotopy theory is the study of homotopy theory up to `suspension'. Suspension is a method of making spaces larger, for example the suspension of the n-sphere is the n+1-sphere. There are many fascinating patterns and structures within homotopy theory that are only revealed when looking through the lens of stable homotopy theory, such as the Freundenthal suspension theorem. Another example of stable data is that coming from cohomology theories.

Cohomology theories are of great importance for studying topological spaces. They take as input topological spaces and as output give a collection of abelian groups. They satisfy a useful collection of axioms which (in theory) make these groups computable. To study cohomology theories, one looks at their representing objects, called spectra. The category of spectra is called the stable homotopy category and is central to the study of algebraic topology.

Contact anna.felikson@durham.ac.uk for more information


Pure Maths Colloquium

Pure Maths Colloquium: Stable homotopy theory and spectra

Presented by David Barnes, Sheffield University

7 May 2012 16:00 in CM221

If homotopy theory is the study of spaces up to homotopy, then stable homotopy theory is the study of homotopy theory up to `suspension'. Suspension is a method of making spaces larger, for example the suspension of the n-sphere is the n+1-sphere. There are many fascinating patterns and structures within homotopy theory that are only revealed when looking through the lens of stable homotopy theory, such as the Freundenthal suspension theorem. Another example of stable data is that coming from cohomology theories.

Cohomology theories are of great importance for studying topological spaces. They take as input topological spaces and as output give a collection of abelian groups. They satisfy a useful collection of axioms which (in theory) make these groups computable. To study cohomology theories, one looks at their representing objects, called spectra. The category of spectra is called the stable homotopy category and is central to the study of algebraic topology.

Contact anna.felikson@durham.ac.uk for more information


Statistics Seminars

Pure Maths Colloquium: Stable homotopy theory and spectra

Presented by David Barnes, Sheffield University

7 May 2012 16:00 in CM221

If homotopy theory is the study of spaces up to homotopy, then stable homotopy theory is the study of homotopy theory up to `suspension'. Suspension is a method of making spaces larger, for example the suspension of the n-sphere is the n+1-sphere. There are many fascinating patterns and structures within homotopy theory that are only revealed when looking through the lens of stable homotopy theory, such as the Freundenthal suspension theorem. Another example of stable data is that coming from cohomology theories.

Cohomology theories are of great importance for studying topological spaces. They take as input topological spaces and as output give a collection of abelian groups. They satisfy a useful collection of axioms which (in theory) make these groups computable. To study cohomology theories, one looks at their representing objects, called spectra. The category of spectra is called the stable homotopy category and is central to the study of algebraic topology.

Contact anna.felikson@durham.ac.uk for more information


Stats4Grads

Pure Maths Colloquium: Stable homotopy theory and spectra

Presented by David Barnes, Sheffield University

7 May 2012 16:00 in CM221

If homotopy theory is the study of spaces up to homotopy, then stable homotopy theory is the study of homotopy theory up to `suspension'. Suspension is a method of making spaces larger, for example the suspension of the n-sphere is the n+1-sphere. There are many fascinating patterns and structures within homotopy theory that are only revealed when looking through the lens of stable homotopy theory, such as the Freundenthal suspension theorem. Another example of stable data is that coming from cohomology theories.

Cohomology theories are of great importance for studying topological spaces. They take as input topological spaces and as output give a collection of abelian groups. They satisfy a useful collection of axioms which (in theory) make these groups computable. To study cohomology theories, one looks at their representing objects, called spectra. The category of spectra is called the stable homotopy category and is central to the study of algebraic topology.

Contact anna.felikson@durham.ac.uk for more information


Information about seminars for the current academic year. For information on previous years' seminars please see the seminar archives pages.