BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Mounir Nisse (Xiamen University Malaysia) DTSTART:20211119T140000Z DTEND:20211119T150000Z DTSTAMP:20260423T020954Z UID:LAGARTOS/33 DESCRIPTION:Title: On the topology of phase tropical varieties and beyond\nby Mounir Ni sse (Xiamen University Malaysia) as part of (LAGARTOS) Latin American Real and Tropical Geometry Seminar\n\n\nAbstract\nTropical geometry is a recen t area of mathematics that can be seen as a limiting aspect (or "degenera tion") of algebraic geometry. For example complex curves viewed as Riema nn surfaces turn to metric graphs (one dimensional combinatorial object) \, and $n$-dimensional complex varieties turn to $n$-dimensional polyhe dral complexes with some properties. \n\nI will first give an overview\, and I will recall the definition of phase tropical varieties\, their amo ebas and coamoebas. After that\, I will focus on non-singular algebraic c urves in $(\\mathbb{C}^*)^n$ with $n\\geq 2$ and explain how they degenera te onto phase tropical curves that are topological manifolds. Such proper ties were conjectured in a talk by O. Viro in a workshop at MSRI in 2009 (Viro's conjecture is very general). \n\nThen\, I will discuss and explain how we show this fact\, under certain conditions\, for $k$-dimensional p hase tropical variety in $(\\mathbb{C}^*)^{2k}$\, and I will ask some inte resting questions.\n LOCATION:https://researchseminars.org/talk/LAGARTOS/33/ END:VEVENT END:VCALENDAR