Summer semester 2024

3+1+0

Target group

OPAL

OPAL course

Timetable

V Tue
V Fri

2. DS
2. DS

WIL C 129
WIL C 133

Complex analysis is the theory of functions of a complex variable. Differentiability of a function of a complex variable is defined analogously to the differentiability of a function of a real variable, but complex differentiable functions have many nice properties, for example they are automatically infinitely complex differentiable. Many results of complex analysis are very aesthetic, the lecture is not a copy of the basic lectures in calculus, which are the only prerequisite for participation. One can simply enjoy the lecture on its own, but knowledge from this lecture is helpful in the theory of partial differential equations, in functional analysis (especially spectral theory), in geometry and many other fields.

The lecture (but not the exercises) should be recorded.

3+1+0

Target group

Master's degree courses in mathematics, business mathematics, technomathematics, Master's degree course in physics (specialization)

OPAL

OPAL course

Timetable

V Mon
V Wed

2. DS
2. DS

HSZ/0105/U
HSZ/0403/H

This is an advanced lecture in functional analysis. Topics of the lecture in this summer semester are: Spectral theory of closed, bounded and compact operators on Banach spaces, theory of Banach algebras, spectral theorem for self-adjoint operators on Hilbert spaces, introduction to the theory of C_0-semigroups.

The lecture (but not the exercises) will be recorded.

Module MA WIA (for example, other credits are possible)

The (underground) seminar on topics in mathematical physics, which has been taking place since 2009, is an opportunity for students of physics and mathematics from the 4th semester onwards to take an interdisciplinary approach to their subject areas. Doctoral students are also cordially invited.

Here, participants present selected mathematical physics topics to each other in the form of papers. See also the underground seminar page.

2+0+0

Target group

Timetable

In the winter semester 2023 /24 and in the summer semester 2024 takes place the international internet seminar on evolution equations. The title of this year's internet seminar is Harmonic analysis techniques for ellitpic operators.

The international internet seminars on evolution equations are organized in three phases.

Phase 1: The Lectures (October 2023 - February 2024). A weekly lecture will be provided on the discussion platform as lecture notes and a video recording. These lectures will be self-contained, and references for additional reading will be provided. The weekly lecture will be accompanied by exercises, and the participants are supposed to solve these problems.

Phase 2: The Projects (April - June 2024). The participants will form small international groups to work on diverse projects which supplement the theory of Phase 1 and provide some applications. The list of projects and further details concerning the application process will be published in February 2024.

Phase 3: The Workshop (17.06. - 21.06.2024). The final workshop takes place at the CIRM in Luminy (Marseille, France). There the project teams of Phase 2 will present their projects and additional lectures will be delivered by leading experts in the field. The official announcement of the workshop can be found here.

For participants from TU Dresden, participation at the project phase and the final workshop is not strictly necessary. Participation at phase 1 is equivalent to a lecture course of 2 SWS, participation at all three phases is equivalent to a lecture course of 4 SWS. Please register at the web site mentioned above.