| Date: | October 15, 2019 |
| Time: | 5:00pm |
| Location: | BLOC 506A |
| Speaker: | Zheng Kuang, Texas A&M University |
| Title: | Riehl Ch1~Ch2.1 |
| Abstract: | This is review seminar for the basic category theory. We will deal with the notion of category, functor, categorical equivalence, natural transformation, diagram, 2-categories, and representable functors..
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| Date: | October 22, 2019 |
| Time: | 5:00pm |
| Location: | BLOC 506A |
| Speaker: | Zheng Kuang |
| Title: | The Yoneda Lemma (Riehl 2.2) |
| Abstract: | We will prove Yondeda Lemma and introduce some of its consequences. |
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| Date: | October 29, 2019 |
| Time: | 5:00pm |
| Location: | BLOC 506A |
| Speaker: | Byeongsu Yu |
| Title: | Universal property and Category of element. (Riehl 2.3~2.4) |
| Abstract: | We will show that the universal property, which is called an abstract nonsence, stems from the initial element of special category named the category of element. The category of element is a special case of comma category. Then, the universal object of the category element gives the universal property of some specific construction. |
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| Date: | November 5, 2019 |
| Time: | 5:00pm |
| Location: | BLOC 506A |
| Speaker: | TBA |
| Title: | Limit and Colimit (Riehl 3.1) |
| Abstract: | TBA |
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| Date: | November 19, 2019 |
| Time: | 5:00pm |
| Location: | BLOC 628 |
| Speaker: | Byeongsu Yu |
| Title: | Properties of limits and colimits and its representable nature |
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| Date: | November 26, 2019 |
| Time: | 5:00pm |
| Location: | BLOC 628 |
| Speaker: | Byeongsu Yu |
| Title: | Limits in the category of sets |
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