15:30
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17:00 |
Classification, Equivalence Relations and Descriptive Set Theory, Assist. Prof. Dr. Burak Kaya
(Seminer)
Classification problems have always been a central theme in
mathematics. Consequently, one may wonder whether or not it is possible to measure the "difficulty" of a classification problem. Over the last couple decades, descriptive set theory has successfully provided a
framework to rigorously measure the relative complexity of
classification problems from diverse areas of mathematics. In the first
half of this talk, we shall introduce this framework and briefly
summarize some key results and their implications. In the second half of
this talk, we shall focus on some classification problems from
topological dynamics and present some of our own results. No prior
knowledge on the topic will be assumed.
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