Is it true that the human brain has not evolved in 100 000 years?
tl;dr
Here are the two claims you make

human brain has not evolved in 100 000 years

Wrong!

there are no genes for intelligence.

Wrong!
The claim there are no genes for intelligence. is unclear though (see below) but if rephrased in the most intuitive correct way, then the claim is wrong!
Are there genes for intelligence?

[..] there are no genes for intelligence.

The claim there are no genes for intelligence is unclear. Does that mean there is no genetic variance in the human population for intelligence? To understand why the claim &quot;gene for something&quot; makes no sense, please have a look at this post
Make sure to read this post..... Done? Now you understand why the concept of heritability is key. So let's rephrase the question so that it makes sense and can be answered
Is Intelligence heritable?
Well, the issue here is to define the term 'intelligence' in a way that is non-arbitrary and yet match our intuition of what we like to call intelligent. A number of studies have investigated the heritability of intelligence, often using different definitions / metrics for intelligence.
All these studies agree on one point. Yes, intelligence is heritable! How heritable it is varies a lot from one study to another (because those studies vary in the population studied and in the definition of intelligence). See the wikipedia article on Heritability of IQ for more layman information.
Has the human brain evolved in the past 100 000 years?
First you need to understand how evolution is defined. Here is a commonly used definition

Evolution is a change of allele frequency through time in a population

Have a look at the post What is meant by individuals do not evolve, populations do? to understand what this definition mean.
Well... first. Everything evolve. You can't stop evolution from happening on any phenotypic trait or on any genomic region. So, of course it evolves. But let's not stop there.
There is still one issue with this question. The saying brain characteristics rather vague. But I'll deal with it as I can.
Is the brain still evolving - phenotypic evidence
Spoting changes in brain structure through time is not easy, as brains don't preserve well. Over such a short period of time (100,000 years) it will be even harder to detect much difference on gross metrics we can use such as cranial cavity.
We can compare the volumes of cranial cavity. Neanderthals interbred with humans (see this loosely related post) with Homo sapiens and Nanderthals had a cranial cavity that is bigger than Homo sapiens, so this gene flow would very likely affect H. sapiens cranial cavity.
Is the brain still evolving - genetic evidence
Consider for example Evans et al. 2005 showing that the allele coding for micro-encephaly at the gene MCPH1 is currently increasing in frequency in the human population.
This article from NewScientist also reports the findings of Evans et al. 2005 in layman terms.
Is the brain still evolving - current selection pressures
You should have a look at the post Is intelligence declining due to the lack of selection pressure? and eventually on the wikipedia article for the Flynn Effect.