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Gabriel Angelini-Knoll
Gabriel Angelini-Knoll
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Given a spectrum, is there any kind of machinery that can tell you whether it is the K-theory spectrum of some recognizable category? For example, could $tmf$TMF be realized in this way? In this case we would expect the chromatic height to decrease by one by the chromatic redshift conjecture.

Given a spectrum, is there any kind of machinery that can tell you whether it is the K-theory spectrum of some recognizable category? For example, could $tmf$ be realized in this way? In this case we would expect the chromatic height to decrease by one by the chromatic redshift conjecture.

Given a spectrum, is there any kind of machinery that can tell you whether it is the K-theory spectrum of some recognizable category? For example, could TMF be realized in this way? In this case we would expect the chromatic height to decrease by one by the chromatic redshift conjecture.

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Gabriel Angelini-Knoll
Gabriel Angelini-Knoll
  • 153
  • 5

Given a spectrum, is there any kind of machinery that can tell you whether it is the K-theory spectrum of some recognizable category? For example, could TMF$tmf$ be realized in this way? In this case we would expect the chromatic height to decrease by one by the chromatic redshift conjecture.

Given a spectrum, is there any kind of machinery that can tell you whether it is the K-theory spectrum of some recognizable category? For example, could TMF be realized in this way? In this case we would expect the chromatic height to decrease by one by the chromatic redshift conjecture.

Given a spectrum, is there any kind of machinery that can tell you whether it is the K-theory spectrum of some recognizable category? For example, could $tmf$ be realized in this way? In this case we would expect the chromatic height to decrease by one by the chromatic redshift conjecture.

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Gabriel Angelini-Knoll
Gabriel Angelini-Knoll
  • 153
  • 5

Is this spectrum the algebraic K-theory spectrum of something?

Given a spectrum, is there any kind of machinery that can tell you whether it is the K-theory spectrum of some recognizable category? For example, could TMF be realized in this way? In this case we would expect the chromatic height to decrease by one by the chromatic redshift conjecture.